Question

An angle measures 146 less than the measure of its supplementary angle. What is the measure of each angle?

a. 73 degrees, 219 degrees
b. 73 degrees, 146 degrees
c. 146 degrees, 292 degrees
d. 219 degrees, 73 degrees

Answer 1

The measure of the angle is 17 degrees, and the measure of its supplementary angle is 163 degrees.

Step-by-step explanation:

In this problem, we are given that an angle measures 146 degrees less than its supplementary angle.

Let's assume that the measure of the angle is x degrees. The measure of its supplementary angle will be 180 degrees - x degrees.

According to the given information, x = (180 - x) - 146.

Simplifying the equation, we get 2x = 34, which gives x = 17 degrees.

Therefore, the measure of the angle is 17 degrees, and the measure of its supplementary angle is 180 - 17 = 163 degrees.