The measure of the supplement of an angle is three times the measure of the angle. Find the measures of the angle and its supplement.
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.
45×3=135