Question

The supplement of an angle is 5 times as large as the angle. How do you find the number of degrees in the angle?

Answer 1

`color(blue)(30^@ " and " 150^@)`

Explanation:

Let `theta` be the smaller angle, then the larger angle is `5theta`:

Supplementary angles add up to `180^@`

`:.`

`theta+5theta=180^@`

`6theta=180^@`

`theta=180/6=30^@`

Angles are `30^@` and `5*30^@=150^@`