Question

an angle is one fifth of its supplement the measure of the angle is option a 30 degree option B 15 degree option C 75 degree option d 150 degree

Answer 1

Answer:Option(A)

Explanation:

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

Let the measure of the angle be x.

Given that an angle is 1/5th of its supplement.

x + 1/5 * x = 180

x + x/5 = 180

6x/5 = 180

6x = 900

x = 150.

If one angle is 150 then the other angle will be

 = 1/5 * x

= 1/5 * 150

= 30.


Verification:

x + 1/x = 180

150 + 30 = 180

180 = 180.


Hope this helps!                         

Answer 2

Sum= 180°
1/5 of angle therefore,total parts=6
One angle =30° i.e 1/5th of supplement 150°
Ans= a)30°