SOLUTION: The ratio of the complement of an angle to the supplement of an angle is 18.5 to 41. Find the measure of the complement.
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Question 945015: The ratio of the complement of an angle to the supplement of an angle is 18.5 to 41. Find the measure of the complement. Answer by amarjeeth123(570) (Show Source):
You can put this solution on YOUR website! Let the angle be x degrees.
Complement of the angle=90-x
Supplement of the angle=180-x
(90-x)/(180-x)=18.5/41
41(90-x)=18.5(180-x)
(41-18.5)x=3690-3330
22.5x=360
x=16
The complement of the angle is (90-16) i.e.74 degrees.
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