Question

1) Among two supplementary angle, the measure of the larger angle is 36° more than the measure of the smaller. Find their measure?
2) Find the angle which is equal to its supplement?​

Answer 1

Answer:

Since it is given in question that two angles are supplementary, their sum is equal to 180 degrees

Let smaller angle be = x

Larger angle = 36' + x ( as given)

Now 36' + x + x = 180 '

36 + 2x = 180'

2x = 180 -36

2x = 144

x = 144 /2 => 72'

smaller angle is = 72'

Larger angle is 72+36=108'

2) We have to find the angle which is equal to its supplement.

Supplement-

Let the angle be x.

x+x=180∘⇒2x=180∘⇒x=90∘x+x=180∘⇒2x=180∘⇒x=90∘

Hence, the angle which is equal to its supplement is 90 degrees.