SOLUTION: Two angles are supplementary; that is, the sum of their measures is 180°. The measure of one angle is 30° more than twice the other. What is the measure of each angle?

Algebra ->  Angles -> SOLUTION: Two angles are supplementary; that is, the sum of their measures is 180°. The measure of one angle is 30° more than twice the other. What is the measure of each angle?      Log On


   

Question 469512: Two angles are supplementary; that is, the sum of their measures is 180°. The measure of one angle is 30° more than twice the other. What is the measure of each angle?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

The measure of one angle is 30° more than twice the other

Let x and (2x +30°) represent the measures of these angles

Question states*** "Angles are supplementary

  x + (2x +30°) = 180°

Solving for x

    3x = 150°

      x = 50°,  It's supplementary angle is 130°     (2*50°+30

CHECKING our Answer***

  50° + 130° = 180°