Solve this problem. two angles are complementary. one contains 20° more than the other. find both angles.

Complementary means the sum of both of these angles will be 90*

So:         Let 'x' represent the smaller angle   
                 
                 x+(x+20)=90
                 x+x=90-20
                 2x=70
                 x=35

Therefore if the smaller angle is 35*, then the larger angle must be 55*

35+55=90, therefore these are the two angles that are complementary where one of them contains 20* more than the other