Question

An angle is 5 more than one-forth of its supplement .Find the measure of both the supplementary angles

Answer 1

let the angles be x and y

so according to question
x+y=180°

$x = 5 + \frac{1}{4} y$
4x=20+y
since y=180-x

so put it in eq.1

5x=200
x=40°

and y=180-40=140°

so
x=40° and y=140°