Question

Supplement of an angle is one fourth of itself. The measure of the angle is:
(a) 18° (b) 26° (c) 144° (d) 72°

Answer 1

Heya!!Here is your answer friend ⤵⤵



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
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Supplement is 36

Hope it helps you ✌✌

Answer 2

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.


Hope this helps!