Answer:
m∠A = 9.1°
m∠B = 10.9°
c = 54.2
The answer is (d)
Step-by-step explanation:
∵ a = 25
∵ b = 30
∵ m∠C = 160°
∴ c² = a² + b² - 2 × ab × cos(C)
∴ c² = 25² + 30² - 2(25)(30) × cos(160) = 2934.5389
∴ c = 54.2
∵ a/sin(A) = b/sin(B) = c/sin(C)
∵ 25/sin(A) = 54.2/sin(160)
∴ sin(A) = (25 × sin(160)) ÷ 54.2 = 0.1577584
∴ m∠A = 9.1°
∵ 30/sin(B) = 54.2/sin(160)
∴ sin(B) = (30 × sin(160)) ÷ 54.2 = 0.18931
∴ m∠B = 10.9°
