Question

In triangle ABC, if measure angle A=85° and sin B = cos B, then measure angle C=...

A) 30°
B) 45°
C) 50°
D) 60°

please help with an explaination!!​

Answer 1

Answer:

C. 50°

Step-by-step explanation:

ΔABC = 180°

A° + B° + C° = 180°

85° + 45° + C° = 180° *B = 45°,remember that cos α has same value with sin α in 45° = √2/2 . You can check it. So,

C° = 180° - 130°

C° = 50°

CMIIW