1. Find the angle, which is 60 degrees more than its compliment.

2. Find the angle, which is 56 degrees less than its supplement.

1. Two angles are called complementary when their sum is 90^o. Let the angle be A. Since it's 60^o more than its complementary, another angle is A-60^o.

Hence, A + A-60^o=90^o

2A-60^o=90^o

2A=150^o

A=75^o

 

2. Two angles are called supplementary when their sum is 180^o. Let the angle be A. Since it's 56^o less than its supplementary angle, another angle is A+56^o.

Hence, A + A+56^o=180^o

2A+56^o=180^o

2A=124^o

A=62^o