Question

Find the measure of the indicated angles.
supplementary angles with measures 14x −19 and 7x−32

Answer 1

135° and 45°

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°