37. In the figure shown below, △ABC ~ △DEF, sides AB and BC are each 7.2 cm long, side DE is 10.8 cm long, and the measure of ∠E is 42°. What is the measure of ∠C?

Answer and Explanation

Your Answer is

Correct Answer is E

Explanation

Because the two triangles are similar, the corresponding angles are equal, ∠E=∠B=42. And because AB=BC, the triangle ABC is an isosceles triangle, so the two base angles are equal. ∠C=( 180-42 )÷2=69.