Measuring Angles Worksheet - Free Printable
Educational worksheet: Measuring Angles Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Measuring Angles Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Measuring Angles Worksheet
To solve the problem of finding the measurement of each angle in the provided worksheet, we need to analyze each diagram and determine the type of angle depicted. Here's a step-by-step explanation for each angle:
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- Diagram: A right angle is shown with a small square at the vertex.
- Explanation: A right angle measures exactly 90°.
- Answer: 90°
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- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Without a protractor or specific markings, we cannot measure it precisely. However, based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 45°, but exact value not determinable without tools).
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- Diagram: The angle appears to be a straight line.
- Explanation: A straight angle measures exactly 180°.
- Answer: 180°
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- Diagram: The angle appears to be an obtuse angle (greater than 90° but less than 180°).
- Explanation: Based on the visual representation, it looks like an obtuse angle.
- Answer: Obtuse angle (e.g., approximately 120°, but exact value not determinable without tools).
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- Diagram: The angle appears to be an obtuse angle (greater than 90° but less than 180°).
- Explanation: Based on the visual representation, it looks like an obtuse angle.
- Answer: Obtuse angle (e.g., approximately 135°, but exact value not determinable without tools).
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- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 45°, but exact value not determinable without tools).
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- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 30°, but exact value not determinable without tools).
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- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 60°, but exact value not determinable without tools).
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- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 45°, but exact value not determinable without tools).
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1. ∠FGH = 90°
2. ∠DBC = Acute angle (e.g., 45°)
3. ∠XYW = 180°
4. ∠PIG = Obtuse angle (e.g., 120°)
5. ∠TNS = Obtuse angle (e.g., 135°)
6. ∠NMO = Acute angle (e.g., 45°)
7. ∠LIP = Acute angle (e.g., 30°)
8. ∠RED = Acute angle (e.g., 60°)
9. ∠MOP = Acute angle (e.g., 45°)
If precise measurements are required, a protractor would be needed to measure the angles accurately.
Final Answer Boxed:
\[
\boxed{
\begin{array}{ccc}
\text{∠FGH} & \text{∠DBC} & \text{∠XYW} \\
90^\circ & \text{Acute (e.g., 45°)} & 180^\circ \\
\text{∠PIG} & \text{∠TNS} & \text{∠NMO} \\
\text{Obtuse (e.g., 120°)} & \text{Obtuse (e.g., 135°)} & \text{Acute (e.g., 45°)} \\
\text{∠LIP} & \text{∠RED} & \text{∠MOP} \\
\text{Acute (e.g., 30°)} & \text{Acute (e.g., 60°)} & \text{Acute (e.g., 45°)}
\end{array}
}
\]
---
1. What is the measurement of ∠FGH?
- Diagram: A right angle is shown with a small square at the vertex.
- Explanation: A right angle measures exactly 90°.
- Answer: 90°
---
2. What is the measurement of ∠DBC?
- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Without a protractor or specific markings, we cannot measure it precisely. However, based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 45°, but exact value not determinable without tools).
---
3. What is the measurement of ∠XYW?
- Diagram: The angle appears to be a straight line.
- Explanation: A straight angle measures exactly 180°.
- Answer: 180°
---
4. What is the measurement of ∠PIG?
- Diagram: The angle appears to be an obtuse angle (greater than 90° but less than 180°).
- Explanation: Based on the visual representation, it looks like an obtuse angle.
- Answer: Obtuse angle (e.g., approximately 120°, but exact value not determinable without tools).
---
5. What is the measurement of ∠TNS?
- Diagram: The angle appears to be an obtuse angle (greater than 90° but less than 180°).
- Explanation: Based on the visual representation, it looks like an obtuse angle.
- Answer: Obtuse angle (e.g., approximately 135°, but exact value not determinable without tools).
---
6. What is the measurement of ∠NMO?
- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 45°, but exact value not determinable without tools).
---
7. What is the measurement of ∠LIP?
- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 30°, but exact value not determinable without tools).
---
8. What is the measurement of ∠RED?
- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 60°, but exact value not determinable without tools).
---
9. What is the measurement of ∠MOP?
- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Based on the visual representation, it looks like an acute angle.
- Answer: Acute angle (e.g., approximately 45°, but exact value not determinable without tools).
---
Final Answers:
1. ∠FGH = 90°
2. ∠DBC = Acute angle (e.g., 45°)
3. ∠XYW = 180°
4. ∠PIG = Obtuse angle (e.g., 120°)
5. ∠TNS = Obtuse angle (e.g., 135°)
6. ∠NMO = Acute angle (e.g., 45°)
7. ∠LIP = Acute angle (e.g., 30°)
8. ∠RED = Acute angle (e.g., 60°)
9. ∠MOP = Acute angle (e.g., 45°)
If precise measurements are required, a protractor would be needed to measure the angles accurately.
Final Answer Boxed:
\[
\boxed{
\begin{array}{ccc}
\text{∠FGH} & \text{∠DBC} & \text{∠XYW} \\
90^\circ & \text{Acute (e.g., 45°)} & 180^\circ \\
\text{∠PIG} & \text{∠TNS} & \text{∠NMO} \\
\text{Obtuse (e.g., 120°)} & \text{Obtuse (e.g., 135°)} & \text{Acute (e.g., 45°)} \\
\text{∠LIP} & \text{∠RED} & \text{∠MOP} \\
\text{Acute (e.g., 30°)} & \text{Acute (e.g., 60°)} & \text{Acute (e.g., 45°)}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of finding angle measures worksheet answers.
