Question

Find the angle whose supplementary angle is four times its complementary angle

Answer 1

Hey

Here is your answer,

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 x 30 = 120
Four times the complementary is equal to the supplementary.

Hope it helps you!