# 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?

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 =$216 \div 4$ = 54
So 2x - 36 = $\left(54 \times 2\right) - 36$ = 72

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