SOLUTION: supplementary angle of an angle is 9/4times its complementary angle. Find the measure of the supplementary angle.

Question 824874: supplementary angle of an angle is 9/4times its complementary angle. Find the measure of the supplementary angle.
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
x = angle
(90 - x) = complement
(180 - x) = supplement
(180 - x) = (9/4)(90 - x)
180 - x = 810/4 - (9/4)x
multiply each side by 4
4(180 - x) = 810 - 9x
720 - 4x = 810 - 9x
add 5x to each side
720 + 5x = 810
subtract 720 from each side
5x = 90
divide each side by 5
x = 18

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