SOLUTION: What is the measure of an angle if it is 60 less than five times its own complement?

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Question 1087600: What is the measure of an angle if it is 60 less than five times its own complement?
Answer by MathLover1(20850) About Me  (Show Source):
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Two angles are complementary when they add up to 90 degrees.
let x be the angle, and 90-x be the its complementary angle
if the measure of an angle if it is 60 less than five+times its own complement, we have
x%2B60=5%2890-x%29........solve for x
x%2B60=450-5x
x%2B5x=450-60
6x=390
x=390%2F6
x=65-> the angle
90-x=90-65=25 -> its complementary angle

check:
x=65
90-x=25
five+times its complement is 5%2A25=125
125=x%2B60
125=65%2B60
125=125