Find the measure of the indicated angles.

supplementary angles with measures 14x - 19 and 7x-32

135° and 45°

Step-by-step explanation:

We are given two angles;

14x - 19 and 7x-32

We are told that the two angles are supplementary.

To find the two angles we need to know what are supplementary angles;

Supplementary angles are angles that add up to 180° Therefore, if angles a and b are supplementary;

Then, a + b = 180

Therefore, in this case;

14x - 19 + 7x-32 = 180

Solving for x

21x - 51 = 180

21x = 231

x = 11

Therefore, the angles are;

14x - 19 = 14 (11) - 19 = 135° and

7x-32 = 7 (11) - 32 = 45°

Thus, the measure of angles are 135° and 45°