SOLUTION: What is the angle, complement, and supplement if two times an angle is 24 less than its complement

Algebra ->  Angles -> SOLUTION: What is the angle, complement, and supplement if two times an angle is 24 less than its complement      Log On


   

Question 873265: What is the angle, complement, and supplement if two times an angle is 24 less than its complement
Answer by Seutip(231) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
x - be the angle
90-x - be the compliment
180-x - be the supplement
Translation:
2%28x%29=%2890-x%29-24
2x=90-x-24
2x%2Bx=66
3x=66
x=22

The angle is 22 degrees.
The compliment is (90-22) = 68 degrees.
The supplement is(180-22) = 158 degrees.
Hope that helps!
Steffy