Question

The supplement of an angle is 30 degrees more than the measure of the

what is the measure of
the angle?
angle,

Answer 1

x = 75°

Explanation:

supplementary angles sum to 180°

let x be the angle then x + 30 is the supplementary angle , so

x + x + 30 = 180

2x + 30 = 180 ( subtract 30 from both sides )

2x = 150 ( divide both sides by 2 )

x = 75

x + 30 = 75 + 30 = 105

the angle is 75° and the supplementary angle is 105°