The sum of the interior angle measures of a triangle is 180°. Angle B is three times the measure of angle A. Angle C is 52°. Find the value of x.

x = 30.5

Step-by-step explanation:

Givens

Let the smallest angle = x

Let the next angle = 3x

Let the third angle = 52

Every triangle = 180 degrees.

Equation

x + 3x + 52 = 180

Solution

4x + 52 = 180 Subtract 52 from both sides.

4x + 52 - 52 = 180 - 52 Combine

4x = 122 Divide by 4

4x/4 = 122/4

x = 30.5