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

2y+44=180

2y=136

y=68

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

68+44=x

x=112