# law of signs

**The Law of Sines **(or** Sine Rule**) is very useful for solving triangles:

And it says that:

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 triangleâ€™s angles is 180 degrees. So find the sum of angles *A* and *B*, and subtract that sum from 180.

180 â€“ (84 + 58) = 180 â€“ 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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