Question

Two angles are supplementary if the sum of their measures is 180. If one angle’s measure is 45 more than 3 times the other angle, what are the measures of each angle?

Answer 1

Assuming the two angles are supplementary, the angle measuring x is equal to 33.75, and the angle measuring 3x+45 is equal to 146.25.

Explanation:

x+(3x+45)=4x+45=180

4x+45=180

-45 -45

4x=135

÷3 ÷3

x=33.75

3x+45=146.25