Finding Complementary and Supplementary Angles Worksheet | Free ... - Free Printable

Let's solve each problem step by step.

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🔷 Understanding Complementary and Supplementary Angles

- Complementary angles are two angles that add up to 90°.
- So, the complementary angle of an angle $ x $ is:
$$
90^\circ - x
$$

- Supplementary angles are two angles that add up to 180°.
- So, the supplementary angle of an angle $ x $ is:
$$
180^\circ - x
$$

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Now let’s solve each problem:

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✔ Complementary Angles (Sum to 90°)

1. The complementary angle of $ 59^\circ $ is:
$ 90 - 59 = \boxed{31^\circ} $

2. The complementary angle of $ 40^\circ $ is:
$ 90 - 40 = \boxed{50^\circ} $

3. The complementary angle of $ 5^\circ $ is:
$ 90 - 5 = \boxed{85^\circ} $

4. The complementary angle of $ 54^\circ $ is:
$ 90 - 54 = \boxed{36^\circ} $

5. The complementary angle of $ 85^\circ $ is:
$ 90 - 85 = \boxed{5^\circ} $

6. The complementary angle of $ 84^\circ $ is:
$ 90 - 84 = \boxed{6^\circ} $

7. The complementary angle of $ 44^\circ $ is:
$ 90 - 44 = \boxed{46^\circ} $

8. The complementary angle of $ 60^\circ $ is:
$ 90 - 60 = \boxed{30^\circ} $

9. The complementary angle of $ 34^\circ $ is:
$ 90 - 34 = \boxed{56^\circ} $

10. The complementary angle of $ 63^\circ $ is:
$ 90 - 63 = \boxed{27^\circ} $

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✔ Supplementary Angles (Sum to 180°)

11. The supplementary angle of $ 121^\circ $ is:
$ 180 - 121 = \boxed{59^\circ} $

12. The supplementary angle of $ 78^\circ $ is:
$ 180 - 78 = \boxed{102^\circ} $

13. The supplementary angle of $ 95^\circ $ is:
$ 180 - 95 = \boxed{85^\circ} $

14. The supplementary angle of $ 81^\circ $ is:
$ 180 - 81 = \boxed{99^\circ} $

15. The supplementary angle of $ 169^\circ $ is:
$ 180 - 169 = \boxed{11^\circ} $

16. The supplementary angle of $ 62^\circ $ is:
$ 180 - 62 = \boxed{118^\circ} $

17. The supplementary angle of $ 90^\circ $ is:
$ 180 - 90 = \boxed{90^\circ} $

18. The supplementary angle of $ 72^\circ $ is:
$ 180 - 72 = \boxed{108^\circ} $

19. The supplementary angle of $ 25^\circ $ is:
$ 180 - 25 = \boxed{155^\circ} $

20. The supplementary angle of $ 68^\circ $ is:
$ 180 - 68 = \boxed{112^\circ} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | 31° |
| 2 | 50° |
| 3 | 85° |
| 4 | 36° |
| 5 | 5° |
| 6 | 6° |
| 7 | 46° |
| 8 | 30° |
| 9 | 56° |
| 10 | 27° |
| 11 | 59° |
| 12 | 102° |
| 13 | 85° |
| 14 | 99° |
| 15 | 11° |
| 16 | 118° |
| 17 | 90° |
| 18 | 108° |
| 19 | 155° |
| 20 | 112° |

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✔ Explanation Summary:
- For complementary angles, subtract the given angle from 90°.
- For supplementary angles, subtract the given angle from 180°.

This is a fundamental concept in geometry used when working with right angles and straight lines.

Let me know if you'd like this formatted as a printable answer sheet!