Question

find the magnitude of an angle 1/4 of its complement

Answer 1

"Here's what we know:

180 - x = 4(90-x) (supplementary angles add together to make 180 degrees. Complementary create 90 degrees.

This particular angle's supplementary's partner is 4 times as large as its complementary's partner)

180 - x = 360 - 4x

180 + 3x = 360

3x = 180

x = 60

Let's check

180 - 60 = 120

So the supplementary angle is 120.

90 - 60 = 30

So the complementary angle is 30.

4 * 30 = 120

Four times the complementary is equal to the supplementary.

"