Question

A supplement of a given angle is 4 times as large as the complement of the angle. what is the measure of the angle?

Answer 1

Supplementary angles add to 180 while complementary angles add to 90 degrees.

(180-x)= 4(90-x)

Distribute on the right
180-x=360-4x

Add 4x to both sides
180+3x=360

Subtract 180 from both sides
3x=180

Divide both sides by 3
x=60

Final answer: 60 degrees