Measuring Angles Challenge (Year 6) | CGP Plus - Free Printable

Let's solve the problem step by step.

We are given a worksheet titled "Measuring Angles", where each diagram shows a protractor with an angle drawn, and we need to determine the measure of each angle. The key is to read the correct scale on the protractor (inner or outer) based on which direction the angle opens.

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🔍 How to Measure an Angle Using a Protractor:

1. Place the center of the protractor at the vertex of the angle.
2. Align one side of the angle with the 0° line of the protractor.
3. Read the angle where the other side crosses the protractor.
- If the angle opens to the right, use the outer scale (starting from 0° on the right).
- If it opens to the left, use the inner scale (starting from 0° on the left).

Now let’s go through each diagram.

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✔ Top Row (Red Boxes)

#### 1. First Diagram (Top Left)
- One arm is aligned with 0° on the left (inner scale).
- The other arm points to 150° on the inner scale.
- This is an obtuse angle opening to the left.
- ✔ Answer: 150°

#### 2. Second Diagram (Top Right)
- One arm is aligned with 0° on the right (outer scale).
- The other arm points to 70° on the outer scale.
- This is an acute angle opening to the right.
- ✔ Answer: 70°

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#### 3. Third Diagram (Middle Left)
- One arm is aligned with 0° on the left (inner scale).
- The other arm points to 60° on the inner scale.
- This is an acute angle opening to the left.
- ✔ Answer: 60°

#### 4. Fourth Diagram (Middle Right)
- One arm is aligned with 0° on the right (outer scale).
- The other arm points to 120° on the outer scale.
- This is an obtuse angle opening to the right.
- ✔ Answer: 120°

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🟩 Tom’s Challenges (Green Boxes)

#### 5. Fifth Diagram (Bottom Left of Green Section)
- One arm is aligned with 0° on the left (inner scale).
- The other arm points to 110° on the inner scale.
- Angle opens to the left.
- ✔ Answer: 110°

#### 6. Sixth Diagram (Top Right of Green Section)
- One arm is aligned with 0° on the right (outer scale).
- The other arm points to 150° on the outer scale.
- Angle opens to the right.
- ✔ Answer: 150°

#### 7. Seventh Diagram (Bottom Left of Green Section)
- One arm is aligned with 0° on the left (inner scale).
- The other arm points to 140° on the inner scale.
- Angle opens to the left.
- ✔ Answer: 140°

#### 8. Eighth Diagram (Bottom Right of Green Section)
- One arm is aligned with 0° on the right (outer scale).
- The other arm points to 100° on the outer scale.
- Angle opens to the right.
- ✔ Answer: 100°

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✔ Final Answers:

| Diagram | Angle Size |
|--------|------------|
| 1 | 150° |
| 2 | 70° |
| 3 | 60° |
| 4 | 120° |
| 5 | 110° |
| 6 | 150° |
| 7 | 140° |
| 8 | 100° |

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📝 Summary:

You can tell which scale to use by checking:
- If the angle opens left, use the inner scale (0° on the left).
- If the angle opens right, use the outer scale (0° on the right).

Always make sure the vertex is centered and one arm aligns with 0°.

Let me know if you'd like this in printable format!