Question

if the supplement of an angle is 4 times of its complement, find the angle.. hey mates plsss answer to this question class 9- lines and angles

Answer 1

Given:-

☆Supplement of an angle is 4 times of it complement.

To find:-

☆The angle

Solution:-

Let the required angle be x°

=>Then measure of it's supplement=(180-x)°

=>Thus,measure of it's complement=(90-x)°

Now,As Per Question:-

=>180-x=4(90-x)

=>180-x=360-4x

=>180-360= -4x+x

=>-180= -3x

=>x= -180/-3

=>x=60

Thus,the required angle is 60°.

Answer 2

Let the angle be x
Therefore its supplement=180 degrees - x
Its complement would be =90 degrees-x
Therefore
180-x=4(90-x)
180-x=360-4x
3x=180
X=60 degrees
Therefore the angle is 60 degrees