Answer :

Let us understand what complementary and supplementary angles are.

Complementary angles: When the sum of the measures of two angles is 90°, such angles are called complementary angles. Each angle is called complement of the other.


Supplementary angles: When the sum of the measures of two angles is 180°, such angles are called supplementary angles. Each angle is called supplement of the other.


Take pair 10° and 170°.


Now, adding them


10° + 170° = 180°


Thus, by definition 10° and 170° are supplementary angles.



Take pair 38° and 52°.


Now, adding them


38° + 52° = 90°


Thus, by definition 38° and 52° are complementary angles.



Take pair 35° and 65°.


Now, adding them


35° + 65° = 100°


Thus, by definition 35° and 65° are neither complementary nor supplementary angles.



Take pair 90° and 90°.


Now, adding them


90° + 90° = 180°



Take pair 25° and 165°.


Now, adding them


25° + 165° = 190°


Thus, by definition 25° and 165° are neither complementary nor supplementary angles.



Take pair 45° and 45°.


Now, adding them


45° + 45° = 90°


Thus, by definition 45° and 45° are complementary angles.



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