Answer:
54°
Step-by-step explanation:
[tex]\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[/tex]