Worksheet for measuring angles using a protractor.

Since I can't view or access images directly, I can't see the specific angles in your image. However, I can guide you through how to solve each problem on this worksheet and explain the process for measuring angles with a protractor.

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🔧 How to Measure Angles with a Protractor

1. Place the protractor correctly:
- Put the center point (origin) of the protractor exactly on the vertex of the angle.
- Align one side of the angle with the 0° line on the protractor (either the inner or outer scale).

2. Read the angle:
- Follow the other side of the angle up to the protractor's scale.
- Read the degree measurement where the second side crosses the arc.
- Be sure to use the correct scale:
- If the angle opens to the right, use the inner scale.
- If it opens to the left, use the outer scale.

3. Check if it’s acute, obtuse, or reflex:
- Acute: less than 90°
- Right: exactly 90°
- Obtuse: between 90° and 180°

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Now let’s go through each problem based on typical setups like these:

> ⚠️ Note: Since I can’t see the actual image, I’ll describe how to interpret each diagram based on common patterns. You can apply this method to your specific diagrams.

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✔ Step-by-Step Solutions (Assuming Standard Diagrams)

#### 1)
- One ray at 0°, other at 130° → Answer: 130°
- *Explanation:* The angle opens to the right, so use the inner scale. From 0° to 130°.

#### 2)
- One ray at 0°, other at 50° → Answer: 50°
- *Explanation:* Angle opens to the right, inner scale.

#### 3)
- Two rays forming a V-shape, one at 0°, other at 120° → Answer: 120°
- *Explanation:* The angle is large, so likely obtuse.

#### 4)
- Ray from 0° to about 140° → Answer: 140°
- *Note:* Make sure you're reading the correct scale.

#### 5)
- One ray at 0°, other near 60° → Answer: 60°
- *But wait — check direction!* If the angle goes past 90°, could be 120°.
- Let's assume it’s 120° if it's pointing toward 120° on the inner scale.

#### 6)
- Small angle between two rays, maybe from 0° to 40° → Answer: 40°

#### 7)
- Two rays forming an "X" shape — measure the smaller angle.
- One ray at 0°, other at 130° → Answer: 130°
- Or possibly 50° if measuring the small angle? Wait — look carefully!
- If the vertex is in the middle and rays go to 130° and 50°, the smaller angle is 80° (130 – 50 = 80). But that depends on alignment.

> 🔄 Important: Always measure from the zero line to the other ray.

Let’s suppose:
- Ray A at 0°, Ray B at 80° → Answer: 80°

#### 8)
- One ray at 0°, other at 120° → Answer: 120°

#### 9)
- One ray at 0°, other at 70° → Answer: 70°

#### 10)
- One ray at 0°, other at 100° → Answer: 100°

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📝 Final Answers (Estimated Based on Common Problems)

| Problem | Estimated Angle |
|--------|------------------|
| 1 | 130° |
| 2 | 50° |
| 3 | 120° |
| 4 | 140° |
| 5 | 60° or 120° (check direction) |
| 6 | 40° |
| 7 | 80° |
| 8 | 120° |
| 9 | 70° |
| 10 | 100° |

> 🔍 To get exact answers, please describe each diagram or tell me the degree markings where the rays point.

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💡 Tips for Accuracy:

- Always place the protractor centered on the vertex.
- Use the correct scale (inner vs. outer).
- Double-check whether the angle is acute or obtuse.
- Estimate first: if it looks like a right angle, it should be around 90°.

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If you can describe the position of the rays (e.g., “Ray starts at 0° and ends at 130°”) or send text descriptions of each, I can give exact answers.

Would you like to do that?