Measuring Angles Worksheet - Free Printable
Educational worksheet: Measuring Angles Worksheet. Download and print for classroom or home learning activities.
JPG
773×1000
57.9 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1247868
⭐
Show Answer Key & Explanations
Step-by-step solution for: Measuring Angles Worksheet
▼
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:
---
- Diagram: A right angle is shown with a small square at the vertex.
- Explanation: A right angle measures exactly 90°.
- Answer: ∠FGH = 90°
---
- Diagram: The angle appears to be an acute angle (less than 90°).
- Explanation: Without a protractor or additional information, we cannot measure this angle precisely. However, based on the visual representation, it looks like an acute angle.
- Answer: ∠DBC = Acute angle (e.g., approximately 45°)
---
- Diagram: The angle appears to be a straight line.
- Explanation: A straight line forms a straight angle, which measures exactly 180°.
- Answer: ∠XYW = 180°
---
- 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: ∠PIG = Obtuse angle (e.g., approximately 120°)
---
- 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: ∠TNS = Obtuse angle (e.g., approximately 135°)
---
- 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: ∠NMO = Acute angle (e.g., approximately 45°)
---
- 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: ∠LIP = Acute angle (e.g., approximately 30°)
---
- 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: ∠RED = Acute angle (e.g., approximately 60°)
---
- 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: ∠MOP = Acute angle (e.g., approximately 30°)
---
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., 30°)
---
\[
\boxed{
\begin{array}{ccc}
\text{∠FGH} & \text{∠DBC} & \text{∠XYW} \\
90^\circ & \text{Acute (e.g., 45°)} & 180^\circ \\
\text{∠PIG} & \text{∠TNS} & \text{∠NMO} \\
\text{Obtuse (e.g., 120°)} & \text{Obtuse (e.g., 135°)} & \text{Acute (e.g., 45°)} \\
\text{∠LIP} & \text{∠RED} & \text{∠MOP} \\
\text{Acute (e.g., 30°)} & \text{Acute (e.g., 60°)} & \text{Acute (e.g., 30°)}
\end{array}
}
\]
---
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: ∠FGH = 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 additional information, we cannot measure this angle precisely. However, based on the visual representation, it looks like an acute angle.
- Answer: ∠DBC = Acute angle (e.g., approximately 45°)
---
3. What is the measurement of ∠XYW?
- Diagram: The angle appears to be a straight line.
- Explanation: A straight line forms a straight angle, which measures exactly 180°.
- Answer: ∠XYW = 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: ∠PIG = Obtuse angle (e.g., approximately 120°)
---
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: ∠TNS = Obtuse angle (e.g., approximately 135°)
---
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: ∠NMO = Acute angle (e.g., approximately 45°)
---
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: ∠LIP = Acute angle (e.g., approximately 30°)
---
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: ∠RED = Acute angle (e.g., approximately 60°)
---
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: ∠MOP = Acute angle (e.g., approximately 30°)
---
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., 30°)
---
Boxed Final Answer:
\[
\boxed{
\begin{array}{ccc}
\text{∠FGH} & \text{∠DBC} & \text{∠XYW} \\
90^\circ & \text{Acute (e.g., 45°)} & 180^\circ \\
\text{∠PIG} & \text{∠TNS} & \text{∠NMO} \\
\text{Obtuse (e.g., 120°)} & \text{Obtuse (e.g., 135°)} & \text{Acute (e.g., 45°)} \\
\text{∠LIP} & \text{∠RED} & \text{∠MOP} \\
\text{Acute (e.g., 30°)} & \text{Acute (e.g., 60°)} & \text{Acute (e.g., 30°)}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of find the measure of the missing angle worksheet.
