Question

△ABC is similar to △LMN by the ​ AA Similarity Postulate ​. The measure of ∠A is 111º and m∠C=2(m∠M).

What is m∠M?

Answer 1

△ABC is similar to △LMN by the ​ AA Similarity Postulate ​. The measure of ∠A is 111º and m∠C=2(m∠M).

Since the Angle of A is 111 degrees.
Another angle, Angle of C is twice the angle of M.

Angle of A = Angle of C
2 (Angle of M) = Angle of C
2 (Angle of M) = 111
Angle of M = 55.5 degrees