Question 135355: If the complement of an angle is 5 degree less than one-sixth of its supplement, find the measure of the angle. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! If the complement of an angle is 5 degree less than one-sixth of its supplement, find the measure of the angle.
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Let the angle be "x"; then the complement is "90-x"; the supplement is "180-x"
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EQUATION:
90-x = (1/6)(180-x)-5
90-x = 30-(x/6) -5
65-x =-(x/6)
(5/6)x = 65
x = 65(6/5)= 78 degrees
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Cheers,
Stan H.
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