SOLUTION: The complement of angle x is 9 more than five times the measure of the angle. Find both angles.

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Question 371974: The complement of angle x is 9 more than five times the measure of the angle. Find both angles.
Answer by ericareneee(4) About Me  (Show Source):
You can put this solution on YOUR website!
if the first angle is x, then the complement is 5x+9.
complement means that both angles added together equals 90
so the equation is x+5x+9=90
combine like terms 6x+9=90
then subtract 9 on both sides 6x=81
divide 6 x=13.5
this is the first angle.
the second angle is 5x+9, so substitute 13.5 for x
5(13.5)+9=76.5
check: 13.5+76.5=90
so the first angle is 13.5 and it's complement is 76.5.