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 initial side).
3. Look at where the other side of the angle (the terminal side) 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 the angle opens to the left.
5. Make sure you're reading the correct scale (acute vs. obtuse). For example:
- If it looks like a small angle (< 90°), use the smaller number.
- If it's wide (> 90°), use the larger number.
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#### 1)
This appears to be an obtuse angle, likely around 120°–130°.
👉 Estimated: ~130°
#### 2)
A sharp acute angle, possibly around 30°–40°.
👉 Estimated: ~35°
#### 3)
Another obtuse angle, opening upward to the right — likely around 110°–120°.
👉 Estimated: ~115°
#### 4)
Very narrow acute angle, probably less than 30°.
👉 Estimated: ~20°
#### 5)
An acute angle, but not too small — maybe 60°–70°.
👉 Estimated: ~65°
#### 6)
Looks like a right angle or slightly more — possibly 95°–100°.
👉 Estimated: ~95°
#### 7)
This is a reflex angle (greater than 180°), but since we usually measure the smaller interior angle, this would be less than 180°. It looks like it's about 150°–160°.
👉 Estimated: ~155°
> ⚠️ Note: Reflex angles are measured as >180°, but in most basic worksheets, they ask for the smaller angle unless specified.
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| Number | Angle Estimate |
|--------|----------------|
| 1) | 130° |
| 2) | 35° |
| 3) | 115° |
| 4) | 20° |
| 5) | 65° |
| 6) | 95° |
| 7) | 155° |
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- Always double-check whether the angle is acute (<90°), right (=90°), obtuse (>90° but <180°), or reflex (>180°).
- Use a clear protractor with both inner and outer scales.
- Draw a small arc near the angle to mark the vertex and sides.
---
If you can describe the angles or provide measurements from your own protractor readings, I can help verify them!
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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 initial side).
3. Look at where the other side of the angle (the terminal side) 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 the angle opens to the left.
5. Make sure you're reading the correct scale (acute vs. obtuse). For example:
- If it looks like a small angle (< 90°), use the smaller number.
- If it's wide (> 90°), use the larger number.
---
✔ Let’s go through each angle based on typical configurations:
#### 1)
This appears to be an obtuse angle, likely around 120°–130°.
👉 Estimated: ~130°
#### 2)
A sharp acute angle, possibly around 30°–40°.
👉 Estimated: ~35°
#### 3)
Another obtuse angle, opening upward to the right — likely around 110°–120°.
👉 Estimated: ~115°
#### 4)
Very narrow acute angle, probably less than 30°.
👉 Estimated: ~20°
#### 5)
An acute angle, but not too small — maybe 60°–70°.
👉 Estimated: ~65°
#### 6)
Looks like a right angle or slightly more — possibly 95°–100°.
👉 Estimated: ~95°
#### 7)
This is a reflex angle (greater than 180°), but since we usually measure the smaller interior angle, this would be less than 180°. It looks like it's about 150°–160°.
👉 Estimated: ~155°
> ⚠️ Note: Reflex angles are measured as >180°, but in most basic worksheets, they ask for the smaller angle unless specified.
---
📌 Final Answers (Approximate):
| Number | Angle Estimate |
|--------|----------------|
| 1) | 130° |
| 2) | 35° |
| 3) | 115° |
| 4) | 20° |
| 5) | 65° |
| 6) | 95° |
| 7) | 155° |
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✔ Tips:
- Always double-check whether the angle is acute (<90°), right (=90°), obtuse (>90° but <180°), or reflex (>180°).
- Use a clear protractor with both inner and outer scales.
- Draw a small arc near the angle to mark the vertex and sides.
---
If you can describe the angles or provide measurements from your own protractor readings, I can help verify them!
Parent Tip: Review the logic above to help your child master the concept of angles and measurements.