SOLUTION: find the angle if the sum of its complement and supplement is 14 more than twice the difference of its supplement and complement.

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Question 361705: find the angle if the sum of its complement and supplement is 14 more than twice the difference of its supplement and complement.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
find the angle if the sum of its complement and supplement is 14 more than twice the difference of its supplement and complement.
let angle be x
complement = 90-x
supplement = 180-x
..
(90-x)+(180-x)=2((180-x)-(90-x))+14
...
270-2x=2(180-x-90+x)+14
270-2x=2(90)+14
270-2x=180+14
-2x=-270+194
-2x=-76
x=38 degrees
...
m.ananth@hotmail.ca