Answer:
Step-by-step explanation:
The law of sines is useful. First we need to find the remaining angle.
A + B + C = 180°
A = 180° - B - C = 180° -50° -120°
A = 10°
Now we can find the other two sides.
a/sin(A) = c/sin(C)
a = c(sin(A)/sin(C)) = 15(sin(10°)/sin(120°)) ≈ 3.00767 ≈ 3.0
b/sin(B) = c/sin(C)
b = c(sin(B)/sin(C)) = 15(sin(50°)/sin(120)) ≈ 13.2683 ≈ 13.3
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The solution is A = 10°, a = 3.0, b = 13.3.
