Question

an angle is four times of its complimentary angles. find an angle and its supplementary angle.

Answer 1

let x and y be complimentary angles
so,
x+y =90 (sum of complimentary angles is 90°)
ATQ
x =4y
4y + y = 90
5y = 90
y = 18
x = 4*18 = 72 ans
suplimentary angles sum is 180°
x suplimentary + x = 180
x suplimentary = 180-72= 108 ans

Answer 2

Hello

Here is your solution

It is given the angle is four times of its complimentary anglesangle is four times of its complimentary angles

Let x = the angle

A.T.Q.

The complement is ( 180 - x )

The angle is 4 times its complement.

x = 4( 180 - x )

x = 720 - 4x

add 4x to each side

5x = 720

divide each side by
x = 144

The complement, ( 180 - x ) = 180 - 144 = 36°

Final answer is 36°.

I hope helped you