Supplementary angles differ by 48°. What are the angle's measurements?
1 Answer
Sep 9, 2016
The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.
Explanation:
Supplementary angles are two angles with a sum of 180 degrees.
Let the smaller angle =
If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals
The sum of the two angles is 180, so...
Add the variableterms
Subtract 48 from both sides
Divide both sides by 2
The bigger angle =