Answer:
D. m∠C = 34, b = 25, c = 16
Step-by-step explanation:
If all you want is an answer, your friendly triangle solver can provide it. (See below)
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When you have two angles and a side length, the law of sines can be helpful.
b/sin(B) = a/sin(A)
b = sin(B)/sin(A)·a = sin(119°)/sin(27°)·13 ≈ 25.04 ≈ 25
Similarly, you have C = 180° -27° -119° = 34°, so ...
c = sin(C)/sin(A)·a = sin(34°)/sin(27°)·13 ≈ 16.02 ≈ 16
These values match answer choice D.
m∠C = 34, b = 25, c = 16
