I’m studying for my Trigonometry class and need an explanation.

When we divide side a by the sine of angle A

it is equal to side b divided by the sine of angle B,

and also equal to side c divided by the sine of angle C

The sum of the measures of a triangle’s angles is 180 degrees. So find the sum of angles A and B, and subtract that sum from 180.

180 – (84 + 58) = 180 – 142 = 38

Angle C measures 38 degrees.

Find the measure of side b.

  • Using the law of sines and the proportion

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