Two angles are supplementary. When the smaller is increased by 30°, it becomes 20° less than its new supplementary. Find the original angles.

Question

smaller is x

bigger is y

Answer 1

Two angles are supplementary

x+y = 180 

 

When the smaller is increased by 30°, it becomes 20° less than its new supplementary

(x+30)+20=180-(x+30)

2(x+30)=180-20

2(x+30)=160

x+30=80

x=50

y=180-50=130

 

The original angles are 50 and 130 degrees, resp.

Answer 2

supplementary angles add to 180 degrees

  

x + y = 180

 

x + 30 = (180-  (x + 30) - 20

x+ 30 = 180 - x - 30 - 20

2x = 100

x = 50

 

y = 130

Answer 3

I didn't read the question correctly! Go with the other answers!