Question

∆ABC ~ ∆DEF. If ∠A=75° and ∠E=15°, what is the measure of ∠C?

Answer 1

C = 90

Explanation:

ABC is similar to DEF

That means <A = <D

<B = <E

<C = <F

Since ABD is a triangle

A + B + C = 180

We know A = 75 and E = 15 and E = B = 15

Substituting what we know

75 + 15 + C =180

Combine like terms

90 + C = 180

Subtract 90 from each side

90-90 +C = 180-90

C = 90