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#