Given △ABC∼△DEF , m∠A=52° , and m∠E=11° , what is the measure of angle C ?(1 point)

Question

m∠C =
°

Answer 1

Since triangle ABC is similar to triangle DEF, the corresponding angles are equal.

So, we have m∠A = m∠D and m∠C = m∠F.

We are given that m∠A = 52°.

Therefore, m∠D = 52°.

We are also given that m∠E = 11°.

Since m∠D + m∠E + m∠F = 180° (the sum of angles in a triangle), we can substitute the known values to find m∠F.

52° + 11° + m∠F = 180°

m∠F = 180° - 52° - 11°

m∠F = 117°

Since m∠C = m∠F, we have m∠C = 117°.

Answer 2

Given △PQR∼△LMN , m∠Q=113° , and m∠R=26° , what is the measure of angle N ?(1 point)
m∠N =
°