SOLUTION: The measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. Find the measures of the angles.

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Question 206787This question is from textbook
: The measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. Find the measures of the angles. This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call the missing angle A.
Then its supplement is 180-A, so...
180-A = 3A+20 "...the supplement...is 20 degrees more than 3 times the...angle"
Simplify and solve for A. Subtract 20 from both sides.
160-A = 3A Add A to both sides.
160 = 4A Divide both sides by 4.
40 = A and 180-A = 140
The two angles are:
40 degrees and 140 degrees.