Question 154074: An angle measures 5 degrees more than 4 times its complement. Find the measure of the angle. Answer by orca(409) (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.