SOLUTION: Hello, I am a parent desperately trying to help her sophomore kid. This one has us both stumped. Problem: The measure of the supplement of an angle is 60 less than three times

Question 50422This question is from textbook Glencoe Geometry
: Hello,
I am a parent desperately trying to help her sophomore kid. This one has us both stumped.
Problem:
The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.
Thank you so much. This question is from textbook Glencoe Geometry

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Call the angle a
By definition, the supplement = 180 - a
and the complement = 90 - a
180 - a = 3(90 - a) - 60
180 - a = 270 - 3a - 60
2a = 270 - 180 - 60
2a = 30
a = 15
check
180 - a = 3(90 - a) - 60
180 - 15 = 3(90 - 15) - 60
165 = 3 * 75 -60
165 = 225 - 60
165 = 165
OK
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