The measure of angle B and angle B' will be 66.25° and 113.75°, respectively. Then the correct option is A.
The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
In the following triangle, θ = 60°. Then the sine law in the triangle is given as,
13 / sin B = 12.3 / sin 60°
Simplify the equation, then the measure of the angle B is given as,
13 / sin B = 12.3 / sin 60°
sin B = 0.91531
B = 66.25°
The angle B and angle B' are the supplementary angles. Then we have
B + B' = 180°
66.25° + B' = 180°
B' = 113.75°
The measure of angle B and angle B' will be 66.25° and 113.75°, respectively. Then the correct option is A.
More about the sine law link is given below.
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