Question

If the supplement of an angle is three times its complement find the angle

Answer 1

Answer:

Let x be that angle, y its supplement and z its complement.

y= 180 - x and z= 90 - x

the supplement of x is three times its complement, so y=3z

180 - x = 3( 90 - x)

180 - x = 270 - 3x

- x + 3x= 270 -180

2x= 90

x=45.

So the answer is 45.

⚡Hope it will help you.⚡

Answer 2

let the supplementary angle = (180 - x )

then the complementary angle is 3(90-x)