Angles Worksheets | Free - CommonCoreSheets - Free Printable

Since I can't view or analyze images directly, I’ll help you solve the problem based on the description of the task: "Measuring Reflex Angles" — finding the measure of each reflex angle in the given figures using a protractor.

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🔍 What is a Reflex Angle?

A reflex angle is an angle that is greater than 180° but less than 360°. It's the larger angle formed when two rays meet at a vertex.

To find the measure of a reflex angle, you can:
1. Measure the smaller (acute or obtuse) angle between the two rays using a protractor.
2. Subtract that from 360° to get the reflex angle.

> ✔ Reflex Angle = 360° − (measured smaller angle)

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📐 How to Use a Protractor to Measure a Reflex Angle

1. Place the center of the protractor at the vertex of the angle.
2. Align one ray with the 0° line of the protractor.
3. Read the smaller angle where the other ray intersects the protractor scale.
4. Subtract this value from 360° to get the reflex angle.

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🔢 Let’s Solve Each Problem (Based on Common Diagrams)

Since I can’t see your image, I’ll describe typical configurations and how to solve them. You can apply this method to each figure:

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#### 1)
- If the smaller angle looks like about 120°, then:
→ Reflex angle = 360° − 120° = 240°

#### 2)
- Smaller angle appears to be about 90° (right angle):
→ Reflex = 360° − 90° = 270°

#### 3)
- Smaller angle ≈ 150°:
→ Reflex = 360° − 150° = 210°

#### 4)
- Smaller angle ≈ 45°:
→ Reflex = 360° − 45° = 315°

#### 5)
- Smaller angle ≈ 135°:
→ Reflex = 360° − 135° = 225°

#### 6)
- Smaller angle ≈ 60°:
→ Reflex = 360° − 60° = 300°

#### 7)
- Smaller angle ≈ 100°:
→ Reflex = 360° − 100° = 260°

#### 8)
- Smaller angle ≈ 180° (straight line), but slightly more? Wait — if it's just past straight, say 190°, then reflex would be 170°? No! Wait — reflex is the *larger* one.

But if the smaller angle is 190°, that’s already reflex! So we must be careful.

Wait — if the angle shown is reflex, then the smaller angle is the one *not* marked.

So for example:
- If the figure shows a large arc going around, and the smaller angle between the rays is 70°, then reflex = 360° − 70° = 290°

So for #8, if the small angle is 120°, reflex = 240°

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✔ Final Answer Format (Example):

Let’s assume these are typical values based on common diagrams:

| Figure | Smaller Angle | Reflex Angle |
|--------|----------------|--------------|
| 1) | 120° | 240° |
| 2) | 90° | 270° |
| 3) | 150° | 210° |
| 4) | 45° | 315° |
| 5) | 135° | 225° |
| 6) | 60° | 300° |
| 7) | 100° | 260° |
| 8) | 120° | 240° |

> ⚠️ These values are estimates based on typical diagrams. For accurate answers, you must use a protractor on your actual image.

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💡 Tips for Accuracy:

- Always measure the smaller angle first.
- Double-check which arc is being measured (the reflex one is the bigger one).
- Use a clear protractor and align carefully.

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🧮 Formula Recap:

> Reflex Angle = 360° − Measured Acute/Obtuse Angle

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If you can describe each figure (e.g., “angle opens to the left, smaller angle looks like 100 degrees”), I can give exact answers!

Otherwise, use the method above with your protractor. Let me know if you'd like a printable guide or step-by-step instructions for measuring reflex angles.