Question

Supplement of an angle is one fourth of itself. The measure of the Ange is a) 18 b) 36 c)144 d)75

Answer 1

Let the angle be $x$°. 
Supplement of x = (180-x)°

ATQ (According To Question)
$(180-x) = \frac{1}{4}x$
Multiplying both sides by 4. 
$(180-x) * 4 = \frac{1}{4}x * 4$
$4(180-x) = x$
$720 - 4x = x$
Adding 4x to both sides. 
$720 - 4x + 4x = x + 4x$
$720 = 5x$
Swapping sides. 
$5x = 720$
Dividing both sides by 5. 
$\frac{5x}{5} = \frac{720}{5}$
$x = 144$

∴ The required angle is 144°. 
Correct option is (c). 

Hope this may help you.