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) (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) (Show Source): You can put this solution on YOUR website!
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
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