Question

Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?

Answer 1

24°

Explanation:

The sum of all interior angles of a triangle always equal to 180°.

There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.

`180 = 102 + 54 + x\\180 = 156 + x\\`

Isolate x by subtracting 156 to both sides.

`180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\`