Question

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°

Answer 1

the answer the other dude wrote is right but so yall dont miss it the answer is B on plato

Explanation:

Answer 2

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