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

2 answers:

3 0

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

sergij07 [2.7K]3 years ago

3 0

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

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