SOLUTION: If the complement of an angle is one-fifth its supplement, findthe measure of the angle
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Question 976462: If the complement of an angle is one-fifth its supplement, findthe measure of the angle
Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
angle is x
complement is 90-x
supplement is 180-x
(90-x)=(1/5)(180-x)
450-5x=180-x
270=4x
x=67.5 degrees
Complement is 22.5 degrees
Supplement is 112.5 degrees, which is 5 times as much
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Ambiguous use of language here. The antecedent of the possesive pronoun "its" is unclear. Do you mean
The complement of an angle is one-fifth of the supplement of the complement of the angle.
Or
The complement of an angle is one-fifth of the supplement of the angle?
John

My calculator said it, I believe it, that settles it
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