Question

If an angle is twice its supplement, the angle is ____ degrees. Select one: a. 60 b. 120 c. 5 d. 30

Answer 1

120


X+2x=180
3x =180
X=60

One angle 60 The other angle double of 60 (120)
60+120 = 180

Answer 2

The angle is 120°

Explanation:

Let the angle be x

Supplement angles : A pair of angles whose sum is 180°

So, Complement of x = 180°-x

Now we are given that an angle is twice its supplement

So,
`x=2(180-x)`

`x=360-2x`

`3x=360`

`x=(360)/(3)`

`x=120^(\circ)`

Hence the angle is 120°