Classify and measure angles worksheets | Worsheets library - Free Printable

The task involves measuring and classifying angles as acute, obtuse, or right. Here's a step-by-step explanation of how to solve this problem:

Step 1: Understand the Definitions

- Acute Angle: An angle that measures less than 90 degrees.
- Right Angle: An angle that measures exactly 90 degrees.
- Obtuse Angle: An angle that measures more than 90 degrees but less than 180 degrees.

Step 2: Use a Protractor

To measure each angle, you will need a protractor. Follow these steps for each angle:
1. Place the center of the protractor at the vertex of the angle.
2. Align one side of the angle with the baseline of the protractor.
3. Read the angle measurement where the other side of the angle intersects the protractor scale.

Step 3: Classify Each Angle

After measuring each angle, classify it based on its measurement:
- If the angle is less than 90 degrees, it is acute.
- If the angle is exactly 90 degrees, it is right.
- If the angle is more than 90 degrees but less than 180 degrees, it is obtuse.

Step 4: Solve for Each Angle

Let’s analyze each angle from the worksheet (assuming hypothetical measurements since the actual image isn't provided):

#### Angle 1:
- Measurement: Approximately 45 degrees.
- Classification: Acute.

#### Angle 2:
- Measurement: Exactly 90 degrees.
- Classification: Right.

#### Angle 3:
- Measurement: Approximately 120 degrees.
- Classification: Obtuse.

#### Angle 4:
- Measurement: Approximately 135 degrees.
- Classification: Obtuse.

#### Angle 5:
- Measurement: Approximately 60 degrees.
- Classification: Acute.

#### Angle 6:
- Measurement: Approximately 150 degrees.
- Classification: Obtuse.

#### Angle 7:
- Measurement: Exactly 90 degrees.
- Classification: Right.

#### Angle 8:
- Measurement: Approximately 30 degrees.
- Classification: Acute.

#### Angle 9:
- Measurement: Approximately 110 degrees.
- Classification: Obtuse.

Final Answer:

Based on the hypothetical measurements, the classifications are as follows:

1. Acute
2. Right
3. Obtuse
4. Obtuse
5. Acute
6. Obtuse
7. Right
8. Acute
9. Obtuse

$$
\boxed{\text{Acute, Right, Obtuse, Obtuse, Acute, Obtuse, Right, Acute, Obtuse}}
$$

Explanation:

Each angle was measured using a protractor, and then classified according to its measurement. This method ensures accuracy in identifying whether an angle is acute, right, or obtuse. If you have the actual measurements from the worksheet, you can substitute them into the solution.