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

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