Question

Given ABC ~ DEF, m<A = 52 degrees, and m<E = 11 degrees, what is the measure of angle C?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since triangles ABC and DEF are similar, we know that the corresponding angles are congruent.

Angle A is corresponding to angle D, so m<D = 52 degrees.

Angle B is corresponding to angle E, so m<E = 11 degrees.

Since the sum of the angles in a triangle is 180 degrees, angle C in triangle ABC is:

m<C = 180 - m<A - m<B
= 180 - 52 - m<B

Angle D is corresponding to angle B, so m<D = m<B.

Therefore, we can substitute m<D for m<B:

m<C = 180 - 52 - m<D
= 128 - m<D

We know that m<E = 11 degrees, and m<E is corresponding to m<D, so m<D = 11 degrees.

Substituting this value into the equation:

m<C = 128 - 11
= 117

Therefore, the measure of angle C is 117 degrees.