SOLUTION: An angle is equal to eight times its complement. Determine its measure. Let x be the angle then 90-x is its complement. Therefore,x = 8(90-x) x = 720-8x x

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Question 467561: An angle is equal to eight times its complement. Determine its measure.
Let x be the angle
then
90-x is its complement.
Therefore,x = 8(90-x)
x = 720-8x
x+8x = 720
9x = 720
x = 720/9
x = 80.

Found 2 solutions by nerdybill, R.S.Priya:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
An angle is equal to eight times its complement. Determine its measure.
.
Let x = the angle
then
90-x = complement of angle
.
x = 8(90-x)
x = 720-8x
8x = 720
x = 90 degrees

Answer by R.S.Priya(1) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the angle
then, (90-x) is its complement.
Therefore,
x = 8(90-x)
x = 720-8x
x+8x = 720
9x = 720
x = 720/9
x = 80.