An angle is greater than $ 45^{\circ} $. Is its complementary angle greater than $ 45^{\circ} $ or equal $ 45^{\circ} $ or less than $ 45^{\circ} ? $

 If angle is greater than 45 degree than it's complimentary angle is always less than 45 degree.

Sum of given angle and complimentary is always 90 degree.

Let A and B are two angles making a complementary angle pair and A is greater than 45º.

A + B = 90º

B = 90º − A

Since A greater than 45, B should be less than 45