SOLUTION: If the complement of an angle is 5degrees less than one-sixth of its supplement. Find the measure of the angle.

Question 177873: If the complement of an angle is 5degrees 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 5degrees less than one-sixth of its supplement. Find the measure of the angle.
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Let the angle be "x".
Its complement = "90-x"
Its supplement = "180-x"
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Equation:
90-x = (1/6)(180-x)-5
90-x = 30 - x/6 - 5
90 - x = 25 - x/6
65 = (5/6)x
x = (6/5)*65
x = 6*13
x = 78 Degrees (measure of the angle)
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Cheers,
Stan H.

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