SOLUTION: The supplement of an angle is three times as large as the complement of the same angle. What is the measure of the complement?

Algebra ->  Triangles -> SOLUTION: The supplement of an angle is three times as large as the complement of the same angle. What is the measure of the complement?      Log On


   

Question 815885: The supplement of an angle is three times as large as the complement of the same angle. What is the measure of the complement?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The supplement of an angle 'x' is three times as large as the complement of the same angle.

Question states***

 180°-x = 3(90°-x)

   2x =270° - 180° = 90°

    x = 45°, its compliment is (90° - 45°) = 45°

CHECKING our answer***Supplement is 135°

  135° = 3(45°)