SOLUTION: True or false? If an angle is acute, then the measure of its complement must be greater than the measure of its supplement, if false why?
Algebra.Com
Question 992009: True or false? If an angle is acute, then the measure of its complement must be greater than the measure of its supplement, if false why?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The antecedent of your assertion is moot. If an angle is other than acute, it cannot, by definition have a complement. So if the angle has a complement, then it must be acute, and the complement must be acute as well since the sum of the two angles' measures must be 90 degrees. Furthermore, if an angle is acute, its supplement must be obtuse.
John
My calculator said it, I believe it, that settles it
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