Question

What is the measure of angle x (in degrees) if angle y measures 108 degrees, and both angle x and angle y are supplementary?"

A) 72 degrees
B) 108 degrees
C) 144 degrees
D) 216 degrees

Answer 1

Angle x measures 72 degrees when angle y is 108 degrees because supplementary angles add up to 180 degrees.

Step-by-step explanation:

To find the measure of angle x when given that angle y measures 108 degrees and that they are supplementary, we can use the definition of supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees. Thus, to find the measure of angle x, we would subtract the measure of angle y from 180 degrees:

180 degrees - 108 degrees = 72 degrees.

Therefore, angle x measures 72 degrees, which corresponds to option A.