Question

In △ABC , m∠A=30° and m∠B=64° . In △DEF , m∠D=30° and m∠F=86° . Which statement about the triangles is true? △ABC is not similar to △DEF . △ABC is similar to △DEF Not enough information is given to determine if △ABC is similar to △DEF

Answer 1

Triangle ABC is similar to DEF

Answer 2

△ABC is similar to △DEF. We can prove this by finding the missing angle measures.

C=180-(30+64)
C=180-94
C=86

E=180-(30+86)
E=180-116
E=64

Since A=30 and D=30, B=64 and E=64, and C=86 and F=86, the triangle are similar.

:)