SOLUTION: Hi there! I was wondering if I have two lines that are perpendicular and it makes an x and the top angle says (y+x)degrees the right angle says (y-x) degrees and the left says 2x d

Algebra ->  Points-lines-and-rays -> SOLUTION: Hi there! I was wondering if I have two lines that are perpendicular and it makes an x and the top angle says (y+x)degrees the right angle says (y-x) degrees and the left says 2x d      Log On


   

Question 700130: Hi there! I was wondering if I have two lines that are perpendicular and it makes an x and the top angle says (y+x)degrees the right angle says (y-x) degrees and the left says 2x degrees how would I solve to find each variable? Also just incase this makes a difference 2x and y+x are supplementary(add up to 180) and y+x and y-x are supplementary angles! Thanks for your help:)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
wondering if I have two lines that are perpendicular and it makes an x and the top angle says (y+x)degrees the right angle says (y-x) degrees and the left says 2x degrees how would I solve to find each variable? Also just incase this makes a difference 2x and y+x are supplementary(add up to 180) and y+x and y-x are supplementary angles! Thanks for your help:)
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Equation:
2x + (y+x) = 180 degrees
(y+x)+(y-x) = 180 degrees
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3x + y = 180
2y = 180
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y = 90
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Solve for "x":
3x + 90 = 180
3x = 90
x = 30 degrees.
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Cheers,
Stan H.
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