SOLUTION: An angle measures 5 degrees more than 4 times its complement. Find the measure of the angle.

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Question 154074: An angle measures 5 degrees more than 4 times its complement. Find the measure of the angle.
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
Let its complementary angle be x, then the angle itself is 4x + 5.
As an angle plus its complement is equal to90 degrees, we have
x + 4x + 5 = 90
5x + 5 = 90
5x = 85
x = 17
So the angle's complement is 17 degree.
the angle is 90 - 17 = 73 degrees.