A supplement of an angle is 4 times as large as the angles complement. Find the measure of the angle.

Question

Maximus

Mathematics

27 October, 11:39

A supplement of an angle is 4 times as large as the angles complement. Find the measure of the angle.

+2

Answers (2)

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Roland Butler · Answer 1

Let x = angle

let (90-x) = complement of the angle

let 4 (90-x) = supplement of the angle

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

x + 360 - 4x + 90 - x = 180

- 3x + 450 = 180

- 3x = - 270

x = 67.5

Quentin Guerrero · Answer 2

supplement angles have sum = 180, complement angles have sum = 90

180-x = 4 (90-x)

180-x = 360 - 4x

3x = 180

x = 180/3

x = 60

answer measure of the angle = 60