SOLUTION: one of two supplementary angles is 30 degrees less than the other. Find the measure of the larger angle.

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Question 655819: one of two supplementary angles is 30 degrees less than the other. Find the measure of the larger angle.
Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Since we know supplementary angles add up to 180 degrees then we can maek up the following equation: Let x represent an angle
x + (x-30)=180
Combine like terms and subtract 30:
2x=150
Divide by 2:
x=75
So one angle is 75 degrees and the other is 105 degrees.
Make sense?
RJ
www.math-unlock.com