SOLUTION: Half the supplement of an angle is 45 degrees less than three times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and

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Question 763779: Half the supplement of an angle is 45 degrees less than three times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the supplement. Please clearly indicate the measure of each of the requested angles.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Half the supplement of an angle is 45 degrees less than three times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the supplement. Please clearly indicate the measure of each of the requested angles.
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Let the angle be "x".
The supplement is "180-x"
The complement is "90-x"
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Equation:
(1/2)(180-x) = 3(90-x)-45
Multiply tr by 2 to get:
180-x = 6(90-x) - 90
180-x = 540 - 6x - 90
180+5x = 450
5x = 270
x = 54 degrees
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180-x = 126 degrees
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90-x = 36 degrees
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Cheers,
Stan H.
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