Question

△ABC is similar to △LMN by the ​ AA Similarity Postulate ​ . The measure of ∠A is 57º and m∠C=2(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) = 57
Angle of M = 28.5 degrees