Question 508930: The supplement of an angle is 26 more than five times its complement. what is the measure of your angle? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! A = the angle
C = its complement
C = 90-A
S = its supplement
S = 180-A
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S = 5*C + 26
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S = S
so
180-A = 5*C+26
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substitute C = 90-A
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180-A = 5(90-A) + 26
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180-A = 450 -5A + 26
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180-A = 476 -5A
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4A = 296
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A = 74
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C = 90-74 = 16
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S = 180-74 = 106
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Check to see if this solution is the answer.
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5C + 26 = 5(16) + 26 = 106
Correct.
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Answer: The angle is 74 degrees.
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Done.
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