Answer :

The measure of angle B and angle B' will be 66.25° and 113.75°, respectively. Then the correct option is A.

What is the sine law?

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.

https://brainly.com/question/17289163

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