Use the Law of Sines to find the missing angle of the triangle. Find m∠B given that c = 83, a = 44, and

m∠A = 31.

A. 76.3°
B. 15.8°
C. 72.7°
D. 164.2°

Need help on how I would go about doing this...step-by-step. Thank you!

2 answers

the law of sines says that

sinC/c = sinA/a

sinC/83 = sin31°/44
sinC = 0.9715
So, C = 76.3°

A+B+C = 180, so
B = 180 - (31+76.3) = 72.7°
Thank you, Steve!
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