The measure of a supplement of an angle is 8 more than three times the measure of a complement Find the measure of the angle?

Complimentary angles are ones that add to 90°

Supplementary angles are ones that add to 180°

Translate:

The measure of a supplement of an angle (180-x) is (=)8 more (8+) than three times (3*) the measure of a complement (90-x). Find the measure of the angle?

180 - x = 8+3(90-x)

180 - x = 8 + 270 - 3x

180 - x = 278 - 3x

- x = 98 - 3x

2x = 98

x = 49

Check:

The measure of the supplement (131) is 8 more than 3 times the compliment (41)

41 * 3 + 8 = 131

123 + 8 = 131 ■