An angle measures 20° more than the measure of its supplementary angle. What is the measure of each angle?

Question

asked Mar 3, 2021 225k views

1 Answer

Douglas Bagnall · Answer 1 · 2021-03-08T04:12:45+0000

The measure of the angle is 100° and the measure of its supplementary angle is 80°.

Let's represent the angle as x and its supplementary angle as 180 - x.

According to the given information, x = (180 - x) + 20.

Simplifying the equation, we get x = 200 - x.

Combining like terms, we have 2x = 200.

Dividing both sides by 2, we find x = 100.

Therefore, the angle measures 100° and its supplementary angle measures 80°.