Question

Find the angle that is one forth of it's supplement

Answer 1

Let the angle be a

Supplementary angle = (180 - a)

According to question,

a = (180 - a) /4

=> 4a = 180 - a

=> 5a = 180

=> a = 36

Required angle = 36°

Answer 2

let angles be x.

supplement of x = 180-x.


according to question


x = 180-x/4


4x = 180-x


5x = 180

x = 36°