Question

What are some Non-Examples of Complementary Angles

Answer 1

Complementary angles are two angles whose measures add up to 90 degrees. Therefore, to provide non-examples of complementary angles, we can list pairs of angles that do not sum to 90 degrees. Here are some examples:

1. **30° and 60°**: These add up to 90 degrees (complementary), so they're not a non-example.
2. **45° and 45°**: These add up to 90 degrees (complementary), so they're not a non-example.

Here are valid non-examples:

1. **10° and 70°**: These add up to 80 degrees (not complementary).
2. **30° and 50°**: These add up to 80 degrees (not complementary).
3. **20° and 20°**: These add up to 40 degrees (not complementary).
4. **100° and 30°**: These add up to 130 degrees (not complementary).
5. **60° and 40°**: These add up to 100 degrees (not complementary).
6. **0° and 100°**: These add up to 100 degrees (not complementary).
7. **120° and 30°**: These add up to 150 degrees (not complementary).
8. **75° and 75°**: These add up to 150 degrees (not complementary).
9. **85° and 10°**: These add up to 95 degrees (not complementary).
10. **50° and 50°**: These add up to 100 degrees (not complementary).

In summary, any pairs of angles that do not sum precisely to 90 degrees can be considered non-examples of complementary angles.