SOLUTION: Hello my question is... An angle has a measure X degrees. find the average of the measure of a complement and a supplement of the angle.

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Question 334777: Hello my question is... An angle has a measure X degrees. find the average of the measure of a complement and a supplement of the angle.
Found 2 solutions by mananth, solver91311:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Measure of angle = x
..
complement = (90-x)
supplement = (180-x)
The average of both =
%28%2890-x%29%2B%28180-x%29%29%2F2%29
..
%2890-x%2B180-x%29%2F2
..
270%2F2
..
135 deg.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The sum of the measures of an angle and its complement is . So the measure of the complement of an angle that measures is .

The sum of the measures of an angle and its supplement is . So the measure of the supplement of an angle that measures is .

Add the two measures and divide by 2.

John

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