SOLUTION: The measure of an angle is two times the measure of a supplementary angle. What is the measure of each angle?

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Question 550366: The measure of an angle is two times the measure of a supplementary angle. What is the measure of each angle?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"The measure of an angle is two times the measure of a supplementary angle" means that x=2%28180-x%29. Let's solve it to find x


x=2%28180-x%29 Start with the given equation.


x=360-2x Distribute.


x%2B2x=360 Add 2x to both sides.


3x=360 Combine like terms on the left side.


x=%28360%29%2F%283%29 Divide both sides by 3 to isolate x.


x=120 Reduce.


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Answer:

So the solution is x=120


So the original angle is 120 degrees and the supplementary angle is 180-120 = 60 degrees