Question

If ABC and DEF are similar triangles such that ∠A= 57° and ∠E= 73°, what is the measure of ∠C?

Answer 1

In triangle ABC and DEF

A=D=57

B=E=73

SO C=F

Using Angle sum prop

A+B+C=180

C=180-(57+73)

C=180-130

C=50 degree

Answer 2

Answer:

$50 \degree$

Step-by-step explanation:

If ΔABC is similar to ΔDEF

Then,

<A = <D

<B = <E

<C = <F

Given -

<A = 57°

<E = 73°

As we know <E = <B

Then,

<B = 73°

We need to find <C

<A + <B + <C = 180°

57° + 73° + <C = 180°

<C = 180° - 130°

<C = 50°