SOLUTION: To Whomever can assist... Thank you! 84) If one-fourth of the complement of an angle plus one-fifth of the supplement of the angle equals 36 degrees, find the measure of the a

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: To Whomever can assist... Thank you! 84) If one-fourth of the complement of an angle plus one-fifth of the supplement of the angle equals 36 degrees, find the measure of the a      Log On

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Question 58768This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist... Thank you!
84)
If one-fourth of the complement of an angle plus one-fifth of the supplement of the angle equals 36 degrees, find the measure of the angle. This question is from textbook Elementary and Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If one-fourth of the complement of an angle plus one-fifth of the supplement of the angle equals 36 degrees, find the measure of the angle.
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Let the angle have measure "x".
EQUATION:
(1/4)(90-x)+(1/5)(180-x)=36
22.5-0.25x+36-0.2x=36
58.5-0.45x=36
-0.45x=-22.5
x=50 degrees
Cheers,
Stan H.