Classifying Angles Worksheet | WorksheetsGO - Free Printable
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Step-by-step solution for: Classifying Angles Worksheet | WorksheetsGO
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Show Answer Key & Explanations
Step-by-step solution for: Classifying Angles Worksheet | WorksheetsGO
To solve the problem of measuring 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:
---
- Diagram: A right angle is shown with a small square at the vertex.
- Explanation: A right angle measures exactly 90°.
- Answer: 90°
---
- 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° if estimated).
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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° if estimated).
---
- 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° if estimated).
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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° if estimated).
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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° if estimated).
---
- 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° if estimated).
---
- 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° if estimated).
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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., 60°)
7. ∠LIP = Acute angle (e.g., 30°)
8. ∠RED = Acute angle (e.g., 45°)
9. ∠MOP = Acute angle (e.g., 60°)
---
\[
\boxed{
\begin{array}{ccc}
\text{∠FGH} & \text{∠DBC} & \text{∠XYW} \\
90^\circ & \text{Acute (e.g., 45°)} & 180^\circ \\
\text{∠PIG} & \text{∠TNS} & \text{∠NMO} \\
\text{Obtuse (e.g., 120°)} & \text{Obtuse (e.g., 135°)} & \text{Acute (e.g., 60°)} \\
\text{∠LIP} & \text{∠RED} & \text{∠MOP} \\
\text{Acute (e.g., 30°)} & \text{Acute (e.g., 45°)} & \text{Acute (e.g., 60°)}
\end{array}
}
\]
---
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° if estimated).
---
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° if estimated).
---
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° if estimated).
---
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 60° if estimated).
---
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° if estimated).
---
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 45° if estimated).
---
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 60° if estimated).
---
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., 60°)
7. ∠LIP = Acute angle (e.g., 30°)
8. ∠RED = Acute angle (e.g., 45°)
9. ∠MOP = Acute angle (e.g., 60°)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ccc}
\text{∠FGH} & \text{∠DBC} & \text{∠XYW} \\
90^\circ & \text{Acute (e.g., 45°)} & 180^\circ \\
\text{∠PIG} & \text{∠TNS} & \text{∠NMO} \\
\text{Obtuse (e.g., 120°)} & \text{Obtuse (e.g., 135°)} & \text{Acute (e.g., 60°)} \\
\text{∠LIP} & \text{∠RED} & \text{∠MOP} \\
\text{Acute (e.g., 30°)} & \text{Acute (e.g., 45°)} & \text{Acute (e.g., 60°)}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of angles worksheets.
