SOLUTION: The angles that are suuplementary differ 27 degrees. find the smaller of the two.

Algebra ->  Angles -> SOLUTION: The angles that are suuplementary differ 27 degrees. find the smaller of the two.      Log On


   

Question 463043: The angles that are suuplementary differ 27 degrees. find the smaller of the two.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
"The angles that are suuplementary differ 27 degrees. find the smaller of the two."

Supplementary angles add up to 180°

x = one angle
180 - x = other angle

180 - x - x = 27 {the two angles differ by 27}
180 - 2x = 27 {combined like terms}
-2x = -153 {subtracted 180 from both sides}
x = 76.5 {divided both sides by -2}
180 - x = 103.5 {substituted 76.5, in for x, into 180 - x}

the smaller angle is 76.5°
www.algebrahouse.com