Question

One of two supplementary angles is 118°. Let x = the measure of the other supplementary angle. Write and solve an equation to find the measure of angle x.

A) x = 62°
B) x = 118°
C) x = 180°
D) x = 242°

Answer 1

To find the measure of the other supplementary angle when one is 118°, we subtract 118° from 180° and find x to be 62°.

Step-by-step explanation:

If one of two supplementary angles is 118°, we can find the measure of the other angle using the property that the sum of supplementary angles is 180°. By defining x as the measure of the other angle, we can write the equation x + 118° = 180°. To solve for x, we subtract 118° from both sides of the equation:

• x + 118° = 180°
• x = 180° - 118°
• x = 62°

Therefore, the measure of the other supplementary angle, x, is 62°. The correct answer is A) x = 62°.