Question

Angles X, Y, and Z are supplementary. The sum of the measure of Angles X and Y is 3 more than double the measure of Angle Z. What is the measure of Angle Z

Answer 1

59 degrees

Explanation:

Supplemental means that the angles add to 180.

x + y + z = 180

x + y = 2z + 3

Replace x + y in the top equation with 2z + 3

2z + 3 = z = 180

3x + 3 = 180 Combine the z's.

3x = 177 subtract 3 from both sides

x = 59