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