Question 728546: Find the measure of an angle whose supplement is seven times its complement? Found 2 solutions by ohtheirony, MathLover1:Answer by ohtheirony(35) (Show Source):
If we say the supplement 180-x, is equal to 7 times the complement, 7∗(90-x), then we can create an equation to solve the problem:
180-x=7(90-x)
180-x=630-7x
180=630-6x
-450=-6x
75=x
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Complementary angles add up to °, and supplementary angles add up to °
...=>..
let angles be and ; is complement to and vs
if angle () whose supplement is seven times its complement
than we have
...substitute ...solve for
now find