SOLUTION: what is the equation for.. a complement of an angle is 5 times as large as the angle

Algebra ->  Angles -> SOLUTION: what is the equation for.. a complement of an angle is 5 times as large as the angle      Log On


   



Question 357205: what is the equation for.. a complement of an angle is 5 times as large as the angle
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!
When two angles are complements of each other, their sum is 90 degrees.

Let x be the angle. Thus, the complement of the angle is

90-x

So we are given in words (90-angle=5 times angle):

90-x=5x

90=6x

x=15

Thus the angle is 15 degrees, and its complement is 75 degrees.

I hope this helps!