Angles Worksheets | Free - CommonCoreSheets - Free Printable

Let’s solve each problem step by step.

We are told these are complementary angles. That means the two angles add up to 90 degrees.

In every diagram, one angle is given (like 30°, 32°, etc.), and we need to find angle “A” — which is the other part of the 90° right angle.

So for each problem:

> Angle A = 90° – given angle

Let’s go one by one:

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1) Given: 30°
→ A = 90 – 30 = 60°

2) Given: 32°
→ A = 90 – 32 = 58°

3) Given: 42°
→ A = 90 – 42 = 48°

4) Given: 56°
→ A = 90 – 56 = 34°

5) Given: 27°
→ A = 90 – 27 = 63°

6) Given: 55°
→ A = 90 – 55 = 35°

7) Given: 33°
→ A = 90 – 33 = 57°

8) Given: 31°
→ A = 90 – 31 = 59°

9) Given: 51°
→ A = 90 – 51 = 39°

10) Given: 67°
→ A = 90 – 67 = 23°

11) Given: 63°
→ A = 90 – 63 = 27°

12) Given: 70°
→ A = 90 – 70 = 20°

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Let me double-check a few to be sure:

- #1: 30 + 60 = 90 → ✔
- #5: 27 + 63 = 90 → ✔
- #10: 67 + 23 = 90 → ✔
- #12: 70 + 20 = 90 → ✔

All look correct.

Final Answer:
1. 60
2. 58
3. 48
4. 34
5. 63
6. 35
7. 57
8. 59
9. 39
10. 23
11. 27
12. 20