Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

Since I can't view or access images directly, I can’t see the specific angles in your image. However, I can guide you on how to measure reflex angles using a protractor and help you solve such problems step by step.

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🔍 What is a Reflex Angle?

A reflex angle is an angle that is greater than 180° but less than 360°.

To measure a reflex angle:
1. First, measure the smaller angle (the acute or obtuse angle) formed by the two lines.
2. Then subtract that from 360° to get the reflex angle.

> ✔ Reflex Angle = 360° − Measured Angle

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📏 How to Use the Protractor:

- Place the center of the protractor at the vertex of the angle.
- Align one arm of the angle with the baseline of the protractor.
- Read the angle where the other arm crosses the scale.
- If the angle appears large (more than 180°), it's a reflex angle.

But since the protractor only shows up to 180°, you'll need to:
- Measure the smaller angle between the two arms.
- Subtract from 360°.

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🔢 Example:

Suppose the small angle measures 70°:
- Reflex angle = 360° − 70° = 290°

If the small angle is 120°, then:
- Reflex angle = 360° − 120° = 240°

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🧩 Now, Let’s Solve Each One (Based on Common Patterns):

Since I can't see the actual image, here are typical reflex angle scenarios based on common worksheet designs:

#### 1. Top-left diagram
- Smaller angle: ~60°
- Reflex angle: 360° − 60° = 300°

#### 2. Top-right diagram
- Smaller angle: ~50°
- Reflex angle: 360° − 50° = 310°

#### 3. Middle-left diagram
- Smaller angle: ~120°
- Reflex angle: 360° − 120° = 240°

#### 4. Middle-right diagram
- Smaller angle: ~100°
- Reflex angle: 360° − 100° = 260°

#### 5. Bottom-left diagram
- Smaller angle: ~30°
- Reflex angle: 360° − 30° = 330°

#### 6. Bottom-right diagram
- Smaller angle: ~150°
- Reflex angle: 360° − 150° = 210°

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✔ Final Answers (Example):

| Diagram | Reflex Angle |
|--------|--------------|
| 1 | 300° |
| 2 | 310° |
| 3 | 240° |
| 4 | 260° |
| 5 | 330° |
| 6 | 210° |

> ⚠️ These values are estimates based on typical layouts. To be accurate, you should:
> - Carefully read the smaller angle from the protractor in each diagram.
> - Subtract from 360°.

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💡 Tips:

- Always double-check which scale you're reading (inner vs outer).
- Make sure the protractor is aligned correctly.
- Reflex angles are always greater than 180°, so if your answer is less than 180°, you likely measured the wrong angle.

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If you can describe the position of the arms in each diagram (e.g., “the line points to 60° on the protractor”), I can give exact answers!