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[
{
"content": "<image>\nQuestion: When the rectangular paper ABCD is folded so that point D coincides with point B and point C falls on point C', forming the crease EF, and angle ABE measures 30°, what is the degree measure of angle EFC'?\nChoices:\nA: 120°\nB: 100°\nC: 150°\nD: 90°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, line a and line b are parallel, with the right-angle vertex of triangle board placed on line b. The two perpendicular sides intersect line a. If angle 2 measures 27°, what is the measure of angle 1? \nChoices:\nA: 53°\nB: 63°\nC: 27°\nD: 37°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, if AD is parallel to BC and angle D is equal to angle ABC, point E is located on the side DC. When the line segment AE intersects the extension of BC at point H, and point F is situated on the side AB such that angle FBE is equal to angle FEB, what is the measure of angle BEG if the angle DEH measures 98 degrees?\nChoices:\nA: 39°\nB: 40°\nC: 41°\nD: 42°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, if line l1 is parallel to line l2, and angle MAB measures 125 degrees while angle NBA measures 85 degrees, what is the sum of angle 1 and angle 2? \nChoices:\nA: 30°\nB: 35°\nC: 36°\nD: 40°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: In the diagram, line c intersects lines a and b. If line a is parallel to line b and angle 2 measures 115°, what is the measure of angle 1?\nChoices:\nA: 65°\nB: 115°\nC: 75°\nD: 145°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: As shown in the figure, AB is parallel to CD, G is a point on line CD, E is a point between line AB and line CD, and F is a point above line AB. Angle F is 40° and angle EGF is 65°. Therefore, the sum of angle 1 and angle 2 is ()\nChoices:\nA: 40°\nB: 55°\nC: 65°\nD: 75°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the given triangle ABC, with angle ABC measuring 50 degrees and angle ACB measuring 100 degrees, a point M moves along ray AB. When a line MN parallel to BC is drawn through point M, and it intersects ray AC at point N, the line BN is connected. If there are two congruent angles in triangle BMN, what is the degree measure that angle MNB cannot be?\nChoices:\nA: 25°\nB: 30°\nC: 50°\nD: 65°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, if line AB is parallel to line CD and line AG bisects angle BAE, and angle CEF measures 62 degrees, what is the degree measure of angle FAG?\nChoices:\nA: 159°\nB: 149°\nC: 121°\nD: 31°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, lines l1, l2, and l3 intersect at a single point, and line l4 is parallel to line l1. If the measure of angle 1 is 120° and the measure of angle 2 is 80°, what is the degree measure of angle 3?\nChoices:\nA: 20°\nB: 30°\nC: 40°\nD: 50°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, the angle bisectors of angle ABD and angle ACD meet at point P. If angle A measures 48 degrees and angle D measures 10 degrees, what is the measure of angle P?\nChoices:\nA: 19°\nB: 20°\nC: 22°\nD: 25°",
"role": "user"
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] |
A
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Math
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[
{
"content": "<image>\nQuestion: As shown in the figure, given that angle 1 = 105° and DF parallel AB, then angle D = ().\nChoices:\nA: 65°\nB: 75°\nC: 85°\nD: 105°",
"role": "user"
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] |
B
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Math
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[
{
"content": "<image>\nQuestion: \"The Liuyang River bends nine times, and the water travels fifty kilometers to the Xiangjiang River. As shown in the diagram, a section of the river bends at points B, C, and D before flowing in the original direction. If angle ABC = 120° and angle BCD = 80°, then angle EDC = ()\"\nChoices:\nA: 20°\nB: 40°\nC: 60°\nD: 80°",
"role": "user"
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] |
A
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Math
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[
{
"content": "<image>\nQuestion: If the right angle vertex A of the set square is positioned on the line DE and BC is made parallel to DE, what is the measure of angle DAC?\nChoices:\nA: 30°\nB: 60°\nC: 120°\nD: 150°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: If a diagram displays a parallel beam of light entering a sheet that is parallel to the opposite side, and the angle (angle 1) between the light ray and the lower right side of the sheet measures 110°, what is the measure of the angle (angle 2) formed between the light ray and the upper left side of the sheet?\nChoices:\nA: 110°\nB: 100°\nC: 90°\nD: 70°",
"role": "user"
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A
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Math
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[
{
"content": "<image>\nQuestion: Given a right-angled triangle and a ruler positioned as depicted in the diagram, if angle 1 measures 146 degrees and 33 minutes, what is the degree measure of angle 2?\nChoices:\nA: 64°27′\nB: 63°27′\nC: 64°33′\nD: 63°33′",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the provided figure, AB is a tangent to circle O at point A. Points O and B are connected, with BO intersecting circle O at point C. From point B, a line is extended to intersect circle O at point D. The line segment AD is then formed. If angle ABC measures 36 degrees, what is the measure of angle ADC?\nChoices:\nA: 27°\nB: 32°\nC: 36°\nD: 54°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, triangle ABC is enclosed within circle O. The diameter of circle O is labeled as EF, with point F being the midpoint of arc BC. If angle B measures 40 degrees and angle C measures 60 degrees, what is the degree measure of angle AFE?\nChoices:\nA: 10°\nB: 20°\nC: 30°\nD: 40°",
"role": "user"
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] |
A
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Math
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[
{
"content": "<image>\nQuestion: As shown in the figure, in triangle ABC, AB = AC, the vertices D and E of triangle ADE are on BC and AC respectively, and angle DAE = 90.0, AD = AE, if angle C + angle BAC = 145.0, then the degree of angle EDC for()\nChoices:\nA: 17.5°\nB: 12.5°\nC: 12°\nD: 10°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the provided figure, a tangent line is drawn from point C to circle O, intersecting the extension of the diameter AB of circle O at point D. If angle D measures 40 degrees, what is the measure of angle A?\nChoices:\nA: 50°\nB: 40°\nC: 30°\nD: 25°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, triangle ABC has its side AC intersecting circle O at points C and D. Also, the line segment AB is tangent to circle O at an unknown point. What can be determined about the figure?\nChoices:\nA: 50°\nB: 40°\nC: 30°\nD: 25°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the provided diagram, points A and B cut circle O, with point C being any point on circle O that is distinct from AB. If angle P is measured at 40 degrees, what is the measure of angle ACB?\nChoices:\nA: 70°\nB: 120°\nC: 110°\nD: 0°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle BAC in the regular pentagon ABCDE that is circumscribed around circle O when AC is connected?\nChoices:\nA: 45°\nB: 38°\nC: 36°\nD: 30°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle PDG in the given figure where pentagon ABCDE is inscribed within circle O, and point P lies on side DE, not coinciding with points D and E, with PC, PD, and DG forming perpendiculars and G as the foot of the altitude?\nChoices:\nA: 72°\nB: 54°\nC: 36°\nD: 64°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, the regular hexagon ABCDEF is inscribed in circle O. If we join points A and C, what is the measure of angle BAC?\nChoices:\nA: 60°\nB: 50°\nC: 40°\nD: 30°",
"role": "user"
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] |
D
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Math
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[
{
"content": "<image>\nQuestion: What is the degree measure of angle CPD in the figure, where circle O is the circumcircle of regular hexagon ABCDEF and point P lies on circle O?\nChoices:\nA: 30°\nB: 150°\nC: 60°\nD: 120°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle MBC in pentagon ABCDE and triangle AMN, both of which are inscribed polygons of circle O, when BM is connected?\nChoices:\nA: 12°\nB: 15°\nC: 30°\nD: 48°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, regular hexagon ABCDEF is inscribed in circle O. Point P lies on circle O, but is not the same as point A or B. What is the measure of angle APB?\nChoices:\nA: 60°\nB: 120°\nC: 30°\nD: 150°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the provided diagram, triangles ABC and DCE are congruent. Angle A and angle B both measure 70 degrees. If we connect points A and E, what is the measure of angle AED?\nChoices:\nA: 30°\nB: 35°\nC: 40°\nD: 45°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, if point E lies on line AB and line AC intersects line DE at point F, and triangles ABC and DEC are congruent, and if angle A measures 20 degrees and angle B is equal to angle CEB which measures 65 degrees, what is the degree measure of angle DFA?\nChoices:\nA: 65°\nB: 70°\nC: 85°\nD: 110°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: Given that angle AOB measures 40 degrees as illustrated in the figure, point D lies on side OA, while points C and E are located on side OB. If OC, OD, and DE are all equal in length, what is the measure of angle CDE?\nChoices:\nA: 20°\nB: 30°\nC: 40°\nD: 50°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: Given the provided diagram, where point D lies on side BC of triangle ABC and AB is equal to AC, if angle 2 measures 24 degrees, what is the measure of angle 1?\nChoices:\nA: 44°\nB: 68°\nC: 64°\nD: 54°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the provided diagram, triangle ABC is depicted with angle BAC measuring 130 degrees. The perpendicular bisectors of AB and AC intersect BC at points E and F respectively, and intersect AB and AC at points D and G respectively. What is the degree measure of angle EAF?\nChoices:\nA: 65°\nB: 60°\nC: 70°\nD: 80°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle AED in triangle ABC, where AB equals BC, angle DBE measures 100 degrees, and BD equals BE, with angle C measuring 30 degrees?\nChoices:\nA: 20°\nB: 10°\nC: 15°\nD: 18°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram of triangle ABC, where AB is equal to AC, the angles ACB and BAC are bisected, intersecting at point O. If we draw a perpendicular AD from point A to AO, and it intersects the extension of CO at point D, what is the measure of angle BDC if angle ACD is 10°?\nChoices:\nA: 35°\nB: 40°\nC: 70°\nD: 5°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: As shown in the picture, point F is inside the regular pentagon ABCDE. Triangle ABF is an equilateral triangle. Therefore, angle AFC is equal to ().\nChoices:\nA: 108°\nB: 120°\nC: 126°\nD: 132°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the provided diagram, where a regular pentagon ABCDE is depicted, what is the measure of angle CAD?\nChoices:\nA: 72°\nB: 45°\nC: 36°\nD: 35°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given graph, ABCDE represents a regular pentagon and AC is its diagonal. What is the measure of angle ACD?\nChoices:\nA: 72°\nB: 36°\nC: 74°\nD: 88°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: What is the required measure of angle 1 in order for the white ball to bounce and hit the black ball directly into the bag, given that angle 3 measures 30.0 degrees as shown in the figure?\nChoices:\nA: 15°\nB: 30°\nC: 45°\nD: 60°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, considering right triangle ABC with angle ACB measuring 90°, AC measuring 3 units, and AB measuring 5 units, what is the value of cosA?\nChoices:\nA: 0.6\nB: \\frac{4}{3}\nC: 0.6\nD: 0.8",
"role": "user"
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] |
A
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Math
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[
{
"content": "<image>\nQuestion: Given triangle ABC, where AD is the perpendicular to BC at point D, BD measures 9 units, DC measures 5 units, cosB is 0.6, and E is the midpoint of AC, what is the value of sin angle EDC?\nChoices:\nA: 0.2\nB: \\frac{5}{13}\nC: \\frac{12}{13}\nD: \\frac{5}{12}",
"role": "user"
}
] |
C
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Math
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{
"content": "<image>\nQuestion: What is the value of tan(angle ABC) in the 4x5 square grid, where each small square has a side length of 1 and the vertices of triangle ABC are located on the grid points of these small squares?\nChoices:\nA: \\frac{3√5}{5}\nB: \\frac{√17}{5}\nC: 4\nD: 0.8",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given figure of a square grid paper, where each small square has a side length of 1, points A, B, C, and D are located at the grid points. If AB intersects CD at point O, what is the value of the sine of angle BOD?\nChoices:\nA: 0.8\nB: 0.75\nC: \\frac{4}{3}\nD: 0.6",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: Given a diagram depicting right triangle ABC, with angle A measuring 90 degrees and AD being the perpendicular line to BC at point D, what is the value of tan B when BD equals 3 and CD equals 2?\nChoices:\nA: 1.5\nB: \\frac{2}{3}\nC: \\frac{√6}{2}\nD: \\frac{√6}{3}",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle 1 in the given diagram, where two triangles are congruent and the letters represent the lengths of the sides?\nChoices:\nA: 62°\nB: 72°\nC: 76°\nD: 66°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram, if two triangles are congruent, what is the measure of angle α?\nChoices:\nA: 72°\nB: 60°\nC: 58°\nD: 50°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: In the figure, circle O is the circumcircle of regular hexagon ABCDEF. If P is a point on circle O (excluding C and D), what is the degree measure of angle CPD?\nChoices:\nA: 30°\nB: 30\nC: 60°\nD: 150°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle CPD in degrees, if pentagon ABCDE is circumscribed around circle O and point P lies on line segment DE (excluding point D)?\nChoices:\nA: 30°\nB: 36°\nC: 60°\nD: 72°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the provided figure, if a regular pentagon with equal side lengths is joined together with a regular hexagon, what is the measure of angle ABO?\nChoices:\nA: 24°\nB: 48°\nC: 60°\nD: 72°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, triangle ABC is depicted with angle ACB measuring 90 degrees. Point E is a point on side AC (excluding points C and A) that can move. The midpoint of segment BE is denoted as M. A perpendicular line EF is drawn from point E to side AB, with F as the foot of the perpendicular. Line segments MC and MF are then connected. If angle CBA is 50 degrees, what is the measure of angle CMF during the movement of point E?\nChoices:\nA: 80°\nB: 100°\nC: 130°\nD: 0°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle BEC in the rhombus ABCD, where AC and BD intersect at point O, angle ABC measures 50 degrees, and point E lies on the segment AO?\nChoices:\nA: 95°\nB: 65°\nC: 55°\nD: 35°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram of rectangle ABCD, if triangle BCD is folded along the diagonal BD, resulting in a corresponding point labeled C', what is the measure of angle BDC if angle ADC' measures 20 degrees?\nChoices:\nA: 55°\nB: 50°\nC: 60°\nD: 65°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: As shown in the diagram, in the square ABCD, E is a point on the diagonal BD, angle BEC = 70°, then angle DAE = ().\nChoices:\nA: 10°\nB: 15°\nC: 25°\nD: 30°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, AB and CD are two sides of rectangle ABCD, with AC as its diagonal. When side AB is folded along AE, point B lands on point M on AC. Similarly, when side CD is folded along CF, point D lands on point N on AC. It can be easily proven that quadrilateral AECF is a parallelogram. In order to transform quadrilateral AECF into a rhombus, what is the measure of angle BAE?\nChoices:\nA: 30°\nB: 40°\nC: 45°\nD: 50°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle CEF in the diagram where square ABCD is depicted, with point E lying on the diagonal BD, and the extension of AE intersecting CD at point F with CE being connected, given that angle AFD measures 56 degrees?\nChoices:\nA: 22°\nB: 24°\nC: 26°\nD: 28°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: In the provided diagram, square ABCD is depicted with point E situated on the diagonal BD. CE and AE are connected, and CE is extended to intersect AD at point F. Given that angle DCE measures 25°, what is the degree measure of angle AEF?\nChoices:\nA: 25°\nB: 30°\nC: 35°\nD: 40°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle AOE in the rhombus ABCD, where angle ABC is 50° and the diagonals AC and BD intersect at point O, with E being the midpoint of CD?\nChoices:\nA: 110°\nB: 112°\nC: 115°\nD: 120°",
"role": "user"
}
] |
C
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Math
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{
"content": "<image>\nQuestion: What is the degree measure of angle ECF in the given diagram where G is the midpoint of AD in rectangle ABCD, line segment GE is perpendicular to BG and intersects CD at E, CB is equal to CE, and CG and BE intersect at F?\nChoices:\nA: 30°\nB: 22.5°\nC: 25°\nD: 15°",
"role": "user"
}
] |
B
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Math
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[
{
"content": "<image>\nQuestion: In the given figure, triangle ABC is depicted and CD is the median on the hypotenuse AB. If angle A measures 35 degrees, what is the measure of angle BCD?\nChoices:\nA: 35°\nB: 45°\nC: 60°\nD: 55°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle EAF in the given diagram of rhombus ABCD, where AE is perpendicular to BC at point E, and AF is perpendicular to CD at point F, with E and F being the midpoints of BC and CD respectively?\nChoices:\nA: 75°\nB: 30°\nC: 45°\nD: 60°",
"role": "user"
}
] |
D
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Math
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{
"content": "<image>\nQuestion: In the given figure, a right-angled triangle PMN with a 30° angle is placed inside the square ABCD. The right angle vertex P lies on the diagonal BD of the square. Points M and N are located on the sides AB and CD respectively. The line segment MN intersects BD at point O, which happens to be the midpoint of MN. What is the degree measure of angle AMP?\nChoices:\nA: 60°\nB: 65°\nC: 75°\nD: 80°",
"role": "user"
}
] |
C
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Math
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{
"content": "<image>\nQuestion: What is the measure of angle BAC in rhombus ABCD if angle D is measured at 150 degrees?\nChoices:\nA: 30°\nB: 25°\nC: 20°\nD: 15°",
"role": "user"
}
] |
D
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Math
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[
{
"content": "<image>\nQuestion: What is the degree measure of angle CDF in the diamond ABCD depicted in the figure, where AC intersects with BD at point O, and the perpendicular bisector of AB intersects with AC at point F, and angle BAD measures 80°?\nChoices:\nA: 100°\nB: 80°\nC: 60°\nD: 40°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: In the given diagram of rectangle ABCD, diagonal AC intersects diagonal BD at point O. If angle OAD measures 40°, what is the degree measure of angle COD?\nChoices:\nA: 20°\nB: 40°\nC: 80°\nD: 100°",
"role": "user"
}
] |
C
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Math
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[
{
"content": "<image>\nQuestion: What is the measure of angle ADB in the figure where diamond ABCD is portrayed and angle A is measured at 50 degrees?\nChoices:\nA: 65°\nB: 55°\nC: 45°\nD: 25°",
"role": "user"
}
] |
A
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Math
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[
{
"content": "<image>\nQuestion: As shown in the diagram, B is in the south-west direction of A at an angle of 45°. C is in the south-east direction of A at an angle of 10°. C is in the north-east direction of B at an angle of 85°. Therefore, the size of angle ACB is ().\nChoices:\nA: 80°\nB: 75°\nC: 85°\nD: 88°",
"role": "user"
}
] |
C
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Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle DEB if angle AFG measures 42 degrees and points D and E are located on the sides BA and BC of angle ABC, respectively, in the provided diagram?\nChoices:\nA: 42°\nB: 48°\nC: 52°\nD: 58°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: If angle 1 measures 52 degrees in the given figure where line l1 is parallel to line l2, what is the measure of angle 2 formed by the intersection of line l3 with line l2?\nChoices:\nA: 138°\nB: 128°\nC: 52°\nD: 152°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, if rectangular paper ABCD is folded along crease MN and points A and B land at positions A1 and B1 respectively, and A1B1 intersects side AD at point E, what is the measure of angle A1ME if angle BNM is 70°?\nChoices:\nA: 40°\nB: 50°\nC: 60°\nD: 70°",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, lines l1 and l2 are parallel to each other, and both are intersected by line l3. If angle 1 measures 54 degrees, what is the measure of angle 2?\nChoices:\nA: 36°\nB: 46°\nC: 126°\nD: 136°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, point F is located on the line CD. The line FG bisects angle EFD. AB is parallel to CD. Given that angle 1 measures 56 degrees, what is the measure of angle 2? \nChoices:\nA: 34°\nB: 56°\nC: 62°\nD: 68°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, line AB is parallel to line CD, and line segment EC is an angle bisector of angle AEF. Given that angle EFD measures 130°, what is the degree measure of angle ECF?\nChoices:\nA: 50°\nB: 55°\nC: 60°\nD: 65°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: If line l1 is parallel to line l2, and an right-angle triangle board is positioned as depicted in the figure with a 30° angle, and angle 1 measures 25°, what is the measure of angle 2?\nChoices:\nA: 45°\nB: 50°\nC: 55°\nD: 60°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, line segment a is parallel to line segment b, and angle 1 is measured at 52 degrees. What is the degree measure of angle 2?\nChoices:\nA: 52°\nB: 38°\nC: 48°\nD: 26°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, the line segment AB is parallel to the line segment CD. Additionally, the line segment EG bisects the angle BEF, intersecting CD at point G. Given that angle EFC measures 82 degrees, what is the degree measurement of angle EGF?\nChoices:\nA: 36°\nB: 41°\nC: 46°\nD: 51°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle 2 when the ruler and the triangle ruler with a 30° angle are stacked together, and angle 1 is 42°?\nChoices:\nA: 42°\nB: 72°\nC: 78°\nD: 82°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: If angle AOB' measures 70 degrees after folding a rectangular strip of paper as depicted in the diagram, what is the degree measurement of angle OGC?\nChoices:\nA: 70°\nB: 110°\nC: 125°\nD: 135°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, it is given that AB is parallel to CD. The angle bisectors of angle ABE and angle CDE intersect at point F. If angle BFD measures 130°, what is the degree measure of angle BED?\nChoices:\nA: 100°\nB: 130°\nC: 140°\nD: 160°",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, line AB is parallel to line CD. An angle bisector BE intersects CD at point D. If angle C measures 120°, what is the measure of angle CDE?\nChoices:\nA: 120°\nB: 140°\nC: 150°\nD: 160°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, line l intersects parallel lines AB and CD at points E and F respectively. What is the measure of angle 2 if angle 1 is 71 degrees?\nChoices:\nA: 20°\nB: 70°\nC: 110°\nD: 109°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, it is known that line l intersects lines a and b at points A and B respectively, and line a is parallel to line b. Additionally, the perpendicular line passing through point A intersects line b at point C. If angle 1 measures 32°, what is the degree measure of angle 2?\nChoices:\nA: 32°\nB: 68°\nC: 58°\nD: 34°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: Given a diagram with two overlapping triangular boards placed together, in which the right angle vertex coincides with point O, if OC is parallel to AB, what is the measure of angle AOC?\nChoices:\nA: 100°\nB: 120°\nC: 90°\nD: 60°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: If l1 is parallel to l2, angle A measures 45 degrees, and angle 2 measures 100 degrees, what is the measure of angle 1?\nChoices:\nA: 50°\nB: 55°\nC: 45°\nD: 60°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided figure, lines AB and CD intersect at point O, with EO being perpendicular to AB at point O. If the measure of angle EOD is 50 degrees, what is the sum of the measure of angle AOC and angle BOD?\nChoices:\nA: 100°\nB: 80°\nC: 90°\nD: 70°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: As shown in the figure, the line AB intersects with CD at point O. OE bisects angle AOC. If angle BOD = 70°, then the degree of angle DOE is ().\nChoices:\nA: 70°\nB: 35°\nC: 120°\nD: 145°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: One set of right-angled triangular boards is placed as shown in the diagram, such that the inclined sides of the two triangular boards are parallel to each other, and the right-angle vertex of each triangular board lies on the inclined side of the other triangular board. The degree of angle 1 is ()\nChoices:\nA: 90°\nB: 75°\nC: 65°\nD: 60°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, angle 1 is measured at 105°, angle 2 at 75°, and angle 4 at 110°. What is the measure of angle 3?\nChoices:\nA: 105°\nB: 110°\nC: 115°\nD: 120°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle 1 if AB is parallel to CD and angle A measures 110 degrees in the given diagram?\nChoices:\nA: 110°\nB: 100°\nC: 80°\nD: 70°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, if AB is parallel to CD, angle A measures 50°, and angle C measures 20°, what is the measure of angle E?\nChoices:\nA: 20°\nB: 30°\nC: 50°\nD: 70°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle 3 if line a is parallel to line b and angle 1 measures 53°?\nChoices:\nA: 53°\nB: 83°\nC: 103°\nD: 127°",
"role": "user"
}
] |
D
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, if angle 1 measures 50°, what must be the measure of angle 2 in order for line a to be parallel to line b?\nChoices:\nA: 40°\nB: 130°\nC: 50°\nD: 120°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the value of angle COF in the given diagram, where AB and CD intersect at point O, OE is perpendicular to CD, and OF bisects angle BOD?\nChoices:\nA: 146°\nB: 147°\nC: 157°\nD: 136°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given diagram, if two vertices of a right-angled triangle with a 30° angle are placed on the two parallel sides of the ruler, what is the value of angle α if angle β measures 85°?\nChoices:\nA: 155°\nB: 145°\nC: 135°\nD: 125°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, line segment AB intersects line segment CD at point C. If line segment AB is parallel to line segment CD, and angle 1 measures 50° while angle 2 measures 40°, what is the measure of angle 3?\nChoices:\nA: 80°\nB: 70°\nC: 90°\nD: 100°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, line AB is parallel to line CD and line AE is perpendicular to line CE at point E. If angle EAB measures 120 degrees, what is the degree measure of angle ECD?\nChoices:\nA: 100°\nB: 150°\nC: 120°\nD: 160°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the provided diagram, line l1 is parallel to line l2 and intersects with line l3 at points A and C. Furthermore, a perpendicular line AD is drawn from point A to line AC, intersecting line l2 at point D. If the measure of angle BAD is 35°, what is the measure of angle ACD?\nChoices:\nA: 35°\nB: 45°\nC: 55°\nD: 70°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the degree measure of angle CED if BC is parallel to ED and angle C is 65° in triangle ABC?\nChoices:\nA: 65°\nB: 115°\nC: 135°\nD: 35°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, line a is parallel to line b. If angle 1 measures 74 degrees and angle 2 measures 34 degrees, what is the measure of angle 3?\nChoices:\nA: 75°\nB: 55°\nC: 40°\nD: 35°",
"role": "user"
}
] |
C
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, AB is parallel to CD. On CD, there is a point P. PE is the angle bisector of DPF. If angle 1 measures 50°, what is the measure of angle EPD?\nChoices:\nA: 65°\nB: 75°\nC: 85°\nD: 95°",
"role": "user"
}
] |
A
|
Math
|
|
[
{
"content": "<image>\nQuestion: In the given figure, line a is parallel to line b. A right-angled triangle with an angle measuring 60° (angle ABC = 60°) is positioned as depicted, with points A and C lying on lines a and b, respectively. Given that angle 1 measures 45°, what is the degree measure of angle 2?\nChoices:\nA: 10°\nB: 15°\nC: 30°\nD: 45°",
"role": "user"
}
] |
B
|
Math
|
|
[
{
"content": "<image>\nQuestion: What is the measure of angle EGF if angle GFE is 66° and line EG bisects angle FED in the provided diagram?\nChoices:\nA: 57°\nB: 47°\nC: 66°\nD: 67°",
"role": "user"
}
] |
A
|
Math
|
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