If ΔABC, BC = 12.35, AC = 8.75 centimeters, and m∠B = 37°, what are m∠A and m∠C in two decimal places?

A. m∠A ≈ 25.24°, m∠C ≈ 117.76°

B. m∠A ≈ 58.15°, m∠C ≈ 84.85°

C. m∠A ≈ 25.24°, m∠C ≈ 64.76° D

. m∠A ≈ 58.15°, m∠C ≈ 31.85°

We apply the sine rule here:

a/sin (A) = b/sin (B) = c/sin (C)

The side opposite to angle B is AC

The side opposite to angle A is BC

The side opposite to angle C is AB

8.75/sin (37) = 12.35/sin (A)

A = 58.15°

The sum of the three angles is 180°

Angle C = 180 - 58.15 - 37

Angle C = 84.85°

The answer is B