Question

An angle is twice its supplement. find the measure of the angles

Answer 1

120 degrees because a supplementary angle is 2 angles combined

Answer 2

120°

Explanation:

Let the angle be x then twice it's supplement is 2(180 - x)

Equating the two gives

2(180 - x) = x ← distribute the parenthesis on the left side

360 - 2x = x ( subtract x from both sides )

360 - 3x = 0 ( subtract 360 from both sides )

- 3x = - 360 ( divide both sides by - 3 )

x = 120

The angle is x = 120°