Question

An angle measures 18º less than the measure of its supplementary angle. What is the measure of each angle?

A. Angle 1: 81º, Angle 2: 99º
B. Angle 1: 45º, Angle 2: 135º
C. Angle 1: 72º, Angle 2: 108º
D. Angle 1: 54º, Angle 2: 126º

Answer 1

The measure of Angle 1 is 81º and the measure of Angle 2 is 99º.

Step-by-step explanation:

To find the measure of each angle, let's represent the angles as x and y.

According to the problem, x is 18 degrees less than its supplementary angle, which is 180 - x.

So, we can create an equation: x = 180 - x - 18.

Solving this equation, we get x = 81 degrees. Substituting x into the equation for the supplementary angle, we find y = 180 - 81 = 99 degrees.

Therefore, Angle 1 measures 81º and Angle 2 measures 99º. The correct answer is A.