Question

The supplement of an angle is three times the measure of the angle.

What is the measure of the angle?

The measure of the angle is degrees.

The measure of the supplement of the angle is degrees.

Answer 1

Answer: The angle equals  45 ∘  and the supplement is  135 ∘

Explanation:

Since the supplement is three times the angle, we can say    s  =  3 a

Since we know the supplement is  

180 − a , we can plug that in.

180 - a = 3a

180  = 4 a  (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  ×  3  =  135