Question

An angle is one fifth of its supplement.Find the measure of the angle and its supplement. ​

Answer 1

Let x represent the unknown angle.

Let x represent the unknown angle. It supplement will be 180 - x.

Let x represent the unknown angle. It supplement will be 180 - x. Since the unknown angle is 1/5 of its supplement, you can write:

Let x represent the unknown angle. It supplement will be 180 - x. Since the unknown angle is 1/5 of its supplement, you can write: x = (1/5)(180 - x)

Let x represent the unknown angle. It supplement will be 180 - x. Since the unknown angle is 1/5 of its supplement, you can write: x = (1/5)(180 - x) Multiplying both sides by 5 then gives:

Let x represent the unknown angle. It supplement will be 180 - x. Since the unknown angle is 1/5 of its supplement, you can write: x = (1/5)(180 - x) Multiplying both sides by 5 then gives: 5x = 180 - x

Let x represent the unknown angle. It supplement will be 180 - x. Since the unknown angle is 1/5 of its supplement, you can write: x = (1/5)(180 - x) Multiplying both sides by 5 then gives: 5x = 180 - x Adding x to both sides gives:

Let x represent the unknown angle. It supplement will be 180 - x. Since the unknown angle is 1/5 of its supplement, you can write: x = (1/5)(180 - x) Multiplying both sides by 5 then gives: 5x = 180 - x Adding x to both sides gives: 6x = 180

Dividing both sides by 6 leaves:

x = 180 / 6

x = 30