SOLUTION: the measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. What are the measures of the angles?

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Question 349140: the measure of the supplement of an angle is 20 degrees more than 3 times the measure of the original angle. What are the measures of the angles?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
HI,
*Note: the sum of supplementary angles is 180 degrees
Let x be the "original" angle
%283x+%2B+20%29 would be the other
.
x+%2B+%283x+%2B+20%29+=+180
.
simplify and solve for x
4x+%2B+20+=+180
.
4x+=+160
x = 40 degrees
(3x+20) = 140
.
check Your answer:
40degrees + 140degrees = 180degrees