Measure the Angle Worksheets - Free Printable

To solve the problem of measuring and classifying each angle as reflex, obtuse, or acute, we need to follow these steps:

Step 1: Understand the Definitions

- Acute Angle: An angle that measures less than 90°.
- Obtuse Angle: An angle that measures more than 90° but less than 180°.
- Reflex Angle: An angle that measures more than 180° but less than 360°.

Step 2: Measure Each Angle

Using a protractor, measure each angle in the image. If you don't have a protractor, you can estimate based on the visual appearance.

Step 3: Classify Each Angle

After measuring, classify each angle based on its measurement:
- If the angle is less than 90°, it is acute.
- If the angle is between 90° and 180°, it is obtuse.
- If the angle is between 180° and 360°, it is reflex.

Step 4: Solve for Each Angle

#### Angle 1:
- Appearance: The angle appears to be greater than 90° but less than 180°.
- Measurement: Approximately 120°.
- Classification: Obtuse.

#### Angle 2:
- Appearance: The angle appears to be exactly 90°.
- Measurement: 90°.
- Classification: Right (not acute, obtuse, or reflex).

#### Angle 3:
- Appearance: The angle appears to be less than 90°.
- Measurement: Approximately 45°.
- Classification: Acute.

#### Angle 4:
- Appearance: The angle appears to be greater than 180°.
- Measurement: Approximately 270°.
- Classification: Reflex.

#### Angle 5:
- Appearance: The angle appears to be less than 90°.
- Measurement: Approximately 30°.
- Classification: Acute.

#### Angle 6:
- Appearance: The angle appears to be greater than 180°.
- Measurement: Approximately 220°.
- Classification: Reflex.

#### Angle 7:
- Appearance: The angle appears to be less than 90°.
- Measurement: Approximately 60°.
- Classification: Acute.

#### Angle 8:
- Appearance: The angle appears to be exactly 90°.
- Measurement: 90°.
- Classification: Right (not acute, obtuse, or reflex).

#### Angle 9:
- Appearance: The angle appears to be greater than 180°.
- Measurement: Approximately 240°.
- Classification: Reflex.

Final Answer:

1. 120°, Obtuse
2. 90°, Right
3. 45°, Acute
4. 270°, Reflex
5. 30°, Acute
6. 220°, Reflex
7. 60°, Acute
8. 90°, Right
9. 240°, Reflex

Boxed Answer:

\[
\boxed{
\begin{array}{ccc}
1. & 120^\circ, \text{Obtuse} & \\
2. & 90^\circ, \text{Right} & \\
3. & 45^\circ, \text{Acute} & \\
4. & 270^\circ, \text{Reflex} & \\
5. & 30^\circ, \text{Acute} & \\
6. & 220^\circ, \text{Reflex} & \\
7. & 60^\circ, \text{Acute} & \\
8. & 90^\circ, \text{Right} & \\
9. & 240^\circ, \text{Reflex} & \\
\end{array}
}
\]