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

Since I can't view or analyze 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 using a protractor:
1. Measure the smaller angle (the acute or obtuse angle) between the two rays.
2. Subtract that measurement 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 ray with the 0° line.
- Read the angle where the other ray crosses the protractor scale.
- If the angle appears large (more than 180°), it's a reflex angle — use the method above.

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Let’s Solve Each One (Assuming Typical Diagrams)

Since I can't see your image, here are common examples of how to interpret such diagrams:

#### Example 1:
Suppose one ray points at 0° and the other at 45°.
- The smaller angle is 45°.
- Reflex angle = 360° – 45° = 315°

#### Example 2:
One ray at 0°, the other at 120°.
- Smaller angle = 120°
- Reflex = 360° – 120° = 240°

#### Example 3:
One ray at 0°, the other at 180° → straight line → not reflex
But if it's slightly more than 180°, say 200°, then that’s the reflex angle.

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⚠️ Important Notes:

- Always check whether the angle is less than 180° or greater than 180°.
- The protractor only shows up to 180°, so for reflex angles, you must subtract from 360°.
- Make sure you’re reading the correct scale (inner vs outer).

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✔ Step-by-step Guide to Fill Out Your Worksheet:

For each diagram:
1. Identify the smaller angle formed.
2. Read the protractor value (e.g., 60°, 100°, etc.)
3. Subtract from 360°
4. Write the result as the reflex angle.

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💡 Example Answers (Typical Values):

Let’s assume these are the angles shown (based on common worksheets):

| Diagram | Smaller Angle | Reflex Angle |
|--------|----------------|---------------|
| 1 | 60° | 300° |
| 2 | 70° | 290° |
| 3 | 100° | 260° |
| 4 | 120° | 240° |
| 5 | 150° | 210° |
| 6 | 180° | 180° (not reflex) → likely 200° or similar |

> ⚠️ But 180° is not a reflex angle — it’s a straight angle. So if the angle is just over 180°, e.g., 200°, then it's reflex.

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❗ Final Advice:

If you can describe the position of the rays in each diagram (e.g., "one ray at 0°, the other near 100°"), I can give you the exact answer.

Alternatively, if you can list the readings from the protractor (like “the second ray is at 110°”), I’ll calculate the reflex angle for you.

Just let me know!