SOLUTION: Find the measure of an angle whose supplement is seven times its complement?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
If we set the angle as x, we can create the equations...
Supplement=180-x
Complement=90-x


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


So your angle is 75 degrees.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Complementary angles add up to 90°, and supplementary angles add up to 180°
alpha%2Bbeta=90...=>..alpha=90-beta
let angles be alpha and beta; beta is complement to alpha and vs
if angle (alpha) whose supplement is seven times its complement beta
than we have
alpha%2B7%2Abeta=180...substitute alpha=90-beta
90-beta%2B7%2Abeta=180...solve for beta
6%2Abeta=180-90
6%2Abeta=90
beta=90%2F6
highlight%28beta=15%29
now find alpha
alpha=90-15
highlight%28alpha=75%29