# Two angles of a triangle have equal measures, but the third angle's measure is 36° less than the sum of the other two. How do you find the measure of each angle of the triangle?

##### 1 Answer

Mar 19, 2016

The three angles are 54, 54 and 72

#### Explanation:

The sum of the angles in a triangle is 180

Let the two equal angles be x

Then the third angle equal to 36 less than the sum of the other angles is 2x - 36

and x + x + 2x - 36 =180

Solve for x

4x -36 =180

4x = 180 + 36 = 216

x =

So 2x - 36 =

CHECK: The three angle are 54 + 54 + 72 = 180, so answer correct