SOLUTION: One half of the supplement of an angle is 60 degrees more than one sixth of the complement of the angle. Find the angle.

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Question 666367: One half of the supplement of an angle is 60 degrees more than one sixth of the complement of the angle. Find the angle.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Supplement angles sum to 180
Complement angels sum to 90
...
x = angle to be solved
%281%2F2%29%28180-x%29+=+60+%2B+%281%2F6%29%2890-x%29
%281%2F2%29%28180%29+-+%281%2F2%29%28x%29+=+60+%2B+%281%2F6%29%2890%29+-+%281%2F6%29x
...
Isolate x
%281%2F6%29x+-+%281%2F2%29x+=+60+%2B+%281%2F6%29%2890%29+-+%281%2F2%29%28180%29
Multiply the entire equation by 12, the least common multiple of 6 and 2
to be rid of fractions.
2x - 6x = 720 + 180 - 1080
-4x = -180
...
Divide both sides by -4
highlight_green%28x+=+45%29
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