Let's find which pair of angles are complementary or supplementary among the following pairs of angles and then draw:
10°, 170°; 38°, 52°; 35°, 65°; 90°, 90°; 25°, 165°; 45°, 45°
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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Generated by AI. May contain inaccuracies — always verify with your textbook.



