Question

26. Supplement of angle is one fourth of itself. The measure of the angle is
(a) 189
(b) 36
(c) 144°
(d) 70°​

Answer 1

Answer:

144°

Step-by-step explanation:

We know that two angles are supplementary when they add up to 180 degrees.

Given that supplement of an angle is one-fourth of itself.

= > x + x/4 = 180

= > (4x + x)/4 = 180

= > 5x = 720

= > x = 720/5

= > x = 144.

Therefore the measure of the angle is 144.

Answer 2

Answer:

Let one angle be x

The other angle is 1/4x

Using the property , sum of supplementary angles is 180

We have ,

x+1/4x=180

4x+x/4=180

5x/4=180

5x=180*4

5x=720

x=720/5

x=144

--------

Supplement is 36

Hope it helps you ✌✌