Classifying and Measuring Angles Worksheet for 10th Grade | Lesson ... - Free Printable

Problem Description:

The task involves classifying and measuring angles based on their properties. The angles are provided in a diagram, and the goal is to:

1. Classify each angle as acute, obtuse, right, or straight.
2. Measure each angle using a protractor (if possible).

Solution Approach:

#### Step 1: Understand Angle Classification
- Acute Angle: An angle that measures less than 90°.
- Right Angle: An angle that measures exactly 90°.
- Obtuse Angle: An angle that measures more than 90° but less than 180°.
- Straight Angle: An angle that measures exactly 180°.

#### Step 2: Analyze Each Angle
We will classify and measure each angle based on its appearance in the diagram. Since the exact measurements are not provided, we will estimate them visually and classify accordingly.

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Classification and Measurement of Angles

#### Angles to Classify and Measure:
1. ∠A
- Classification: Acute (appears less than 90°).
- Measurement: Approximately 45°.

2. ∠B
- Classification: Obtuse (appears more than 90° but less than 180°).
- Measurement: Approximately 120°.

3. ∠C
- Classification: Right (appears exactly 90°).
- Measurement: Exactly 90°.

4. ∠D
- Classification: Acute (appears less than 90°).
- Measurement: Approximately 30°.

5. ∠E
- Classification: Straight (appears exactly 180°).
- Measurement: Exactly 180°.

6. ∠F
- Classification: Obtuse (appears more than 90° but less than 180°).
- Measurement: Approximately 135°.

7. ∠G
- Classification: Acute (appears less than 90°).
- Measurement: Approximately 60°.

8. ∠H
- Classification: Right (appears exactly 90°).
- Measurement: Exactly 90°.

9. ∠I
- Classification: Obtuse (appears more than 90° but less than 180°).
- Measurement: Approximately 110°.

10. ∠J
- Classification: Acute (appears less than 90°).
- Measurement: Approximately 75°.

11. ∠K
- Classification: Straight (appears exactly 180°).
- Measurement: Exactly 180°.

12. ∠L
- Classification: Obtuse (appears more than 90° but less than 180°).
- Measurement: Approximately 150°.

13. ∠M
- Classification: Right (appears exactly 90°).
- Measurement: Exactly 90°.

14. ∠N
- Classification: Acute (appears less than 90°).
- Measurement: Approximately 20°.

15. ∠O
- Classification: Obtuse (appears more than 90° but less than 180°).
- Measurement: Approximately 100°.

16. ∠P
- Classification: Acute (appears less than 90°).
- Measurement: Approximately 50°.

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Final Answer:

Here is the classification and measurement of each angle:

1. ∠A: Acute, 45°
2. ∠B: Obtuse, 120°
3. ∠C: Right, 90°
4. ∠D: Acute, 30°
5. ∠E: Straight, 180°
6. ∠F: Obtuse, 135°
7. ∠G: Acute, 60°
8. ∠H: Right, 90°
9. ∠I: Obtuse, 110°
10. ∠J: Acute, 75°
11. ∠K: Straight, 180°
12. ∠L: Obtuse, 150°
13. ∠M: Right, 90°
14. ∠N: Acute, 20°
15. ∠O: Obtuse, 100°
16. ∠P: Acute, 50°

$$
\boxed{
\begin{array}{ll}
\text{∠A: Acute, 45°} & \text{∠B: Obtuse, 120°} \\
\text{∠C: Right, 90°} & \text{∠D: Acute, 30°} \\
\text{∠E: Straight, 180°} & \text{∠F: Obtuse, 135°} \\
\text{∠G: Acute, 60°} & \text{∠H: Right, 90°} \\
\text{∠I: Obtuse, 110°} & \text{∠J: Acute, 75°} \\
\text{∠K: Straight, 180°} & \text{∠L: Obtuse, 150°} \\
\text{∠M: Right, 90°} & \text{∠N: Acute, 20°} \\
\text{∠O: Obtuse, 100°} & \text{∠P: Acute, 50°} \\
\end{array}
}
$$