Problem 89 (grades_7_8 : mk-2022-7-8-29)

Question An isosceles triangle ABC, with AB = AC, is split into three smaller isosceles triangles, as shown, so that AD= DB, CE= CD, and BE= EC. (Note that the diagram is not drawn to scale.) What is the size, in degrees, of angle BAC?

Options

A: 24

B: 28

C: 30

D: 35

E: 36

LLM Response: E5: 36.

Final Prediction: Puzzle #89: Solve this question with explanation of the intermediate steps. Your response must end with one of the selected answer options from A1, B2, C3, D4, or E5. An isosceles triangle ABC, with AB = AC, is split into three smaller isosceles triangles, as shown, so that AD= DB, CE= CD, and BE= EC. (Note that the diagram is not drawn to scale.) What is the size, in degrees, of angle BAC? Options: A1: 24, B2: 28, C3: 30, D4: 35, E5: 36. Predicted Answer = E Correct Answer = E