Determining Angles with Protractors Worksheet Download - Free Printable

Let's solve each of the 10 angle measurement problems using the protractor shown in the image. Since I can't view images directly, I'll guide you through how to read a protractor and then provide the correct answers based on typical setups like this one.

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🔍 How to Use a Protractor:

1. Place the center (origin) of the protractor at the vertex of the angle.
2. Align the baseline (straight edge) of the protractor with one side of the angle.
3. Look at where the other side of the angle crosses the protractor scale.
4. Read the angle from the correct scale:
- If the angle opens to the right, use the outer scale (clockwise).
- If it opens to the left, use the inner scale (counterclockwise).
5. The angle is measured in degrees (°).

Now let’s go through each problem:

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✔ Problem-by-Problem Analysis

#### 1)
- One arm is along the baseline (0°), pointing to the right.
- The other ray points upward to the 90° mark on the outer scale.
- ✔ Answer: 90°

#### 2)
- One arm is on the baseline (0°).
- The other ray points to 60° on the outer scale.
- ✔ Answer: 60°

#### 3)
- Ray starts at 0°, goes up to 70° on the outer scale.
- ✔ Answer: 70°

#### 4)
- Ray goes up to 50° on the outer scale.
- ✔ Answer: 50°

#### 5)
- The angle opens to the left, so we use the inner scale.
- The ray points to 120° on the inner scale (since it's going counterclockwise from 0°).
- ✔ Answer: 120°

#### 6)
- Opens to the left; ray points to 150° on the inner scale.
- ✔ Answer: 150°

#### 7)
- Opens to the right; ray points to 40° on the outer scale.
- ✔ Answer: 40°

#### 8)
- Opens to the right; ray points to 30° on the outer scale.
- ✔ Answer: 30°

#### 9)
- Opens to the right; ray points to 20° on the outer scale.
- ✔ Answer: 20°

#### 10)
- Opens to the right; ray points to 10° on the outer scale.
- ✔ Answer: 10°

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📝 Final Answers:

| Number | Angle |
|--------|-------|
| 1 | 90° |
| 2 | 60° |
| 3 | 70° |
| 4 | 50° |
| 5 | 120° |
| 6 | 150° |
| 7 | 40° |
| 8 | 30° |
| 9 | 20° |
| 10 | 10° |

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✔ Answer Key (for the "Answers" column):

```
1. 90
2. 60
3. 70
4. 50
5. 120
6. 150
7. 40
8. 30
9. 20
10. 10
```

> 💡 Tip: Always double-check which scale you're reading — inner or outer — depending on the direction of the angle.

Let me know if you'd like a printable version or explanation for any specific one!