# The measure of an angle's supplement is 44 degrees less than the measure of the angle. What are the measures of the angle and its supplement?

##### 1 Answer
Apr 18, 2018

The angle is 112 degrees and the supplement is 68 degrees.

#### Explanation:

Let the angle’s measure be represented by $x$ and the supplement’s measure be represented by $y$.

Since supplementary angles add to 180 degrees,

$x + y = 180$

Since the supplement is 44 degrees less than the angle,

$y + 44 = x$

We can substitute $y + 44$ for $x$ in the first equation, since they are equivalent.

$y + 44 + y = 180$

$2 y + 44 = 180$

$2 y = 136$

$y = 68$

Substitute 68 for y in one of the original equations and solve.

$68 + 44 = x$

$x = 112$