Question

Two angles are such that one of the angles is 4 by 5 of its supplement . find the angle and its supplement . PLEASE SOLVE IT .

Answer 1

100° and 80° are the angles

Answer 2

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

Let one angle be x.

Then the other angle will be 180 - x.

Now,

Given that Two angles are such that one of the angles is (4/5) of its supplement.

= > x = (4/5)(180 - x)

= > 5x = 4(180 - x)

= > 5x = 720 - 4x

= > 5x + 4x = 720

= > 9x = 720

= > x = 80.

Then,

= > 180 - x

= > 180 - 80

= > 100.

Therefore, the angles are 80 and 100. The supplement angle is 100.

Hope this helps!