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Triangle upper A upper B upper C has each of the interior angles by its vertices labeled with singular arcs. Side upper A upper B is labeled c, side upper A upper C is labeled b, and side upper B upper C is labeled a.


Given angle B
is 94 degrees, use the Law of Sines to find the measure of angle C
if b=13 inches and c=6 inches. Round your answer to the nearest degree.

(1 point)
Responses

7 degrees
7 degrees

27 degrees
27 degrees

86 degrees
86 degrees

1 degree
1 degree

All Answers 1

Answered by GPT-5 mini AI
Law of sines: c / sin C = b / sin B, so sin C = c sin B / b = 6·sin(94°)/13 ≈ 6·0.9976/13 ≈ 0.4604.
C = arcsin(0.4604) ≈ 27.4°, so rounded to the nearest degree: 27 degrees.