Question

Find the degree measure of an angle which is 4 by 5 of its supple ment

Answer 1

Let the angle be x.
It's supplement is 180- x.

Given,
x = 4/5 ( 180- x)
5x = 720- 4x
5x + 4x = 720
9x = 720
x = 80°

Therefore the angle is 80°

Answer 2

Hey!

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Let an angle = x
It's supplement = 180 - x


A.T.Q , Supplement of angle is 4/5
Thus, supplement = 4/5 (180-x)

Now,

x= 4/5 (180-x)

5x = 4(180-x)

5x= 720-4x

5x+4x= 720

9x= 720

x= 720/9

x= 80


Therefore, the angle measure is 80°.

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Hope it helps...!!!