SOLUTION: Half the supplement of an angle is 18 less than four times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the suppl

Algebra ->  Angles -> SOLUTION: Half the supplement of an angle is 18 less than four times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the suppl      Log On


   

Question 778504: Half the supplement of an angle is 18 less than four times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the supplement
Answer by lwsshak3(11628) About Me  (Show Source):
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Half the supplement of an angle is 18 less than four times the complement of the angle. Set up and solve an equation to find the measure of the angle, the complement, and the supplement
let x= measure of the angle
supplement=180-x
complement=90-x
..
%28180-x%29%2F2=4%2890-x%29-18
LCD:2
%28180-x%29=8%2890-x%29-36
180-x=720-8x-36
7x=720-36-180
7x=504
x=72
180-x=108
90-x=18
measure of the angle=72º
supplement=108º
complement=18º