Question

The supplement of an angle has a measure that is three times the angle. What is the measure of the angle and measure of the supplement?

Answer 1

The angle equals `45^@` and the supplement is `135^@`.

Explanation:

Since the supplement is three times the angle, we can say

`s = 3a`

Since we know the supplement is `180 - a`, we can plug that in.

`180 - a = 3a.`

`180 = 4a " "` (add `a` to both sides)

`45 = a " "` (divide both sides by `4`)

Since we know the angle now, all we have to do is multiply it times `3` to find the supplement.

`45 xx 3 = 135`