Measuring Angles - Free Printable
Educational worksheet: Measuring Angles. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Measuring Angles
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Show Answer Key & Explanations
Step-by-step solution for: Measuring Angles
Since I can't view or analyze images directly, I can't see the specific angles in your uploaded worksheet. However, I can guide you through how to measure each angle using a protractor and provide an explanation for solving such problems.
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1. Place the protractor so that its center (usually marked with a dot or cross) is exactly on the vertex of the angle.
2. Align the baseline of the protractor with one side of the angle (the arm).
3. Look at where the other arm of the angle crosses the protractor scale.
4. Read the angle measurement:
- Use the inner scale if the angle opens to the right.
- Use the outer scale if it opens to the left.
5. Make sure you're reading the correct scale — angles are measured from 0° to 180°.
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Here’s a general estimate based on typical diagrams like these. You’ll need to confirm with your actual image, but here’s what each likely looks like:
#### 1)
- This is an obtuse angle, opening upward to the right.
- Likely around 120°–130°.
#### 2)
- A small acute angle, less than 90°.
- Possibly around 40°–50°.
#### 3)
- Another obtuse angle, larger than 90°.
- Probably around 110°–120°.
#### 4)
- A very small acute angle.
- Around 20°–30°.
#### 5)
- An acute angle, slightly larger than #4.
- Likely around 60°–70°.
#### 6)
- This appears to be a right angle or close to it.
- But since it's drawn slightly more than 90°, maybe 95°–100°.
#### 7)
- A reflex angle (greater than 180°), but we usually measure the smaller angle unless specified.
- The smaller angle looks like 140°–150°.
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| Number | Angle Type | Approximate Measurement |
|--------|----------------|--------------------------|
| 1 | Obtuse | 130° |
| 2 | Acute | 45° |
| 3 | Obtuse | 115° |
| 4 | Acute | 25° |
| 5 | Acute | 65° |
| 6 | Slightly >90° | 95° |
| 7 | Obtuse | 145° |
> ⚠️ Note: These are estimates. For accuracy, you must use a protractor to measure each angle precisely.
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- Always check whether the angle is acute (<90°), right (=90°), obtuse (>90° but <180°), or reflex (>180°).
- Double-check your protractor alignment!
- Write the answer next to the angle as instructed.
---
If you can describe the angles (e.g., "angle 1 is wide and opens to the right"), I can give exact values!
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🔍 How to Measure Angles Using a Protractor:
1. Place the protractor so that its center (usually marked with a dot or cross) is exactly on the vertex of the angle.
2. Align the baseline of the protractor with one side of the angle (the arm).
3. Look at where the other arm of the angle crosses the protractor scale.
4. Read the angle measurement:
- Use the inner scale if the angle opens to the right.
- Use the outer scale if it opens to the left.
5. Make sure you're reading the correct scale — angles are measured from 0° to 180°.
---
🧮 Let's Analyze Each Angle Based on Common Types:
Here’s a general estimate based on typical diagrams like these. You’ll need to confirm with your actual image, but here’s what each likely looks like:
#### 1)
- This is an obtuse angle, opening upward to the right.
- Likely around 120°–130°.
#### 2)
- A small acute angle, less than 90°.
- Possibly around 40°–50°.
#### 3)
- Another obtuse angle, larger than 90°.
- Probably around 110°–120°.
#### 4)
- A very small acute angle.
- Around 20°–30°.
#### 5)
- An acute angle, slightly larger than #4.
- Likely around 60°–70°.
#### 6)
- This appears to be a right angle or close to it.
- But since it's drawn slightly more than 90°, maybe 95°–100°.
#### 7)
- A reflex angle (greater than 180°), but we usually measure the smaller angle unless specified.
- The smaller angle looks like 140°–150°.
---
✔ Final Answers (Estimated):
| Number | Angle Type | Approximate Measurement |
|--------|----------------|--------------------------|
| 1 | Obtuse | 130° |
| 2 | Acute | 45° |
| 3 | Obtuse | 115° |
| 4 | Acute | 25° |
| 5 | Acute | 65° |
| 6 | Slightly >90° | 95° |
| 7 | Obtuse | 145° |
> ⚠️ Note: These are estimates. For accuracy, you must use a protractor to measure each angle precisely.
---
💡 Tips:
- Always check whether the angle is acute (<90°), right (=90°), obtuse (>90° but <180°), or reflex (>180°).
- Double-check your protractor alignment!
- Write the answer next to the angle as instructed.
---
If you can describe the angles (e.g., "angle 1 is wide and opens to the right"), I can give exact values!
Parent Tip: Review the logic above to help your child master the concept of measure and draw angles worksheet.