SOLUTION: If the complement of an angle is 10° less than one-third of its supplement, find the measure of the angle. i have tried .3(180)-10=90-x and webassign.net says it is not 40, and

Algebra ->  Angles -> SOLUTION: If the complement of an angle is 10° less than one-third of its supplement, find the measure of the angle. i have tried .3(180)-10=90-x and webassign.net says it is not 40, and       Log On


   

Question 266851: If the complement of an angle is 10° less than one-third of its supplement, find the measure of the angle.
i have tried .3(180)-10=90-x and webassign.net says it is not 40, and it is not 50 either.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If the complement of an angle is 10° less than one-third of its supplement, find the measure of the angle.
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Let the angle be "x".
Its complement is 90-x
Its supplement is 180-x
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Equation:
Solve for "x":
90-x = (1/3)(180-x)-10
Multiply thru by 3 to get rid of the fractions:
270-3x = 180-x - 30
270-3x = 150-x
2x = 120
x = 60
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Cheers,
Stan H.


i have tried .3(180)-10=90-x and webassign.net says it is not 40, and it is not 50 either.