SOLUTION: The Supplement of an angle is 20 less than 3 times the complement. Find the measure of the angle. PLEASE HELP

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Question 526621: The Supplement of an angle is 20 less than 3 times the complement. Find the measure of the angle. PLEASE HELP
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

"The Supplement of an angle is 20 less than 3 times the complement." means that 180-x=3%2890-x%29-20 where 'x' is the given angle.

180-x=3%2890-x%29-20 Start with the given equation.


180-x=270-3x-20 Distribute.


180-x=-3x%2B250 Combine like terms on the right side.


-x=-3x%2B250-180 Subtract 180 from both sides.


-x%2B3x=250-180 Add 3x to both sides.


2x=250-180 Combine like terms on the left side.


2x=70 Combine like terms on the right side.


x=%2870%29%2F%282%29 Divide both sides by 2 to isolate x.


x=35 Reduce.


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Answer:

So the solution is x=35

This means that the given angle is 35 degrees.


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