two angles are supplementary. When the smaller is increased by 30 degrees it becomes 20 degrees less than the new supplement find original angles

Question

 none

Answer 1

Let x = degree measure of the smaller angle

 

Then 180 - x = measure of the supplementary angle

 

Thus, x+30 = [180 - (30+x)] - 20

 

         x+30 = 130 - x

 

             2x = 100

 

              x = 50°

 

The measures of the original angles are 50° and 130°.