SOLUTION: An angle's measure is 1/3 its supplement plus 14 degrees more than 1/5 its complement. Find the angle's complement.
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Question 849766: An angle's measure is 1/3 its supplement plus 14 degrees more than 1/5 its complement. Find the angle's complement.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An angle's measure is 1/3 its supplement plus 14 degrees more than 1/5 its complement. Find the angle's complement.
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Let the angle be "x"::
Equation:
x = (1/3)(180-x)+(1/5)(90-x)+14
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15x = 5(180-x) + 3(90-x) + 210
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15x = 900-5x + 270-3x + 210
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23x = 1380
x = 60 degrees
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Cheers,
Stan H.
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