Question

If mLA= 36° and sin A = cos B, then what is the measure of

Answer 1

54°

Explanation:

`\sin A = \cos B \: \: \: (Given) \\ \\ \implies \: \sin 36 \degree = \cos B \\ \\ \implies \: \cos(90 - 36 ) \degree = \cos B \\ \\ \implies \: \cos \: 54\degree = \cos B \\ \\ \implies \:m \angle B = 54\degree`