Option A is the correct answer i.e. B = 64.13⁰ or B' = 115.87⁰
What is Triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC.
Here, By the sine law,
a/sin A = b / sin B
a sin B = b sin A
15.4 sin B' = 16 sin θ
sin B' = 16 sin θ / 15.4
sin B' = 1.038 sin θ
sin B' = 1.038 X 0.867
sin B' = 0.8998
B' = 115.87⁰
Now, ∠B + ∠B' = 180⁰
∠B + 115.87⁰ = 180⁰
∠B = 180⁰ - 115.87⁰
∠B = 64.13⁰
Thus, Option A is the correct answer i.e. B = 64.13⁰ or B' = 115.87⁰.
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