Question

an angle is one fifth of its supplement the measure of the angle is

Answer 1

x = (180 - x)/5

5x = 180 - x

6x = 180

x = 30

Therefore the angle is 30 degrees.

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Answer 2

let the angle=x
than other angle =1/5x
that means x+1/5x =180 ( supplement angle )
denominator=5 ( we can add two fractions only when their denominator is same )
5/5x+1/5x=180
6/5x =180
x=180×5/6
x=30× 5
x=150
therefore angle =150 and 30
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