Question

Which of the following pairs of angles is not a pair of complementary angles? (a) 150°, 30° (b) 56°, 34° (c) 0°, 90°

Answer 1

To determine which pair of angles is not complementary, we need to find the sum of each pair. The pair of angles that is not complementary is (a) 150°, 30°.

Step-by-step explanation:

Complementary angles are two angles whose sum is equal to 90°. To determine which of the given pairs of angles is not complementary, we need to find the sum of each pair. Let's check:

1. (a) 150°, 30°: The sum of these angles is 180° which is not equal to 90°, so this pair is not complementary.
2. (b) 56°, 34°: The sum of these angles is 90°, so this pair is complementary.
3. (c) 0°, 90°: The sum of these angles is 90°, so this pair is complementary.

Therefore, the pair of angles that is not complementary is (a) 150°, 30°.

Learn more about Complementary angles