Angle QPS is supplementary to angle psr. Also QPS=(2x+12) and PSR is x. Find the value of x. Can you help

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jalber jalber

06-01-2016
Mathematics

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Angle QPS is supplementary to angle psr. Also QPS=(2x+12) and PSR is x. Find the value of x. Can you help

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AL2006 AL2006 · Answer 1 · 2016-01-06T03:31:03+01:00

What does 'supplementary' mean ?
It means the two angles add up to 180 degrees.
So ...
      (2x + 12) + (x) = 180

Eliminate parentheses:    2x + 12   +   x   = 180

Add up the 'x' terms: 3x + 12    = 180

Subtract 12 from each side: 3x        = 168

Divide each side by 3 :    x        = 56 degrees