What Kind of Angle Worksheet - Free Printable

To solve the problem, we need to measure each angle using a protractor and then classify it as acute, right, obtuse, or straight. Here's a step-by-step explanation:

Definitions:

1. Acute Angle: An angle that measures less than 90°.
2. Right Angle: An angle that measures exactly 90°.
3. Obtuse Angle: An angle that measures more than 90° but less than 180°.
4. Straight Angle: An angle that measures exactly 180°.

Solution:

#### Step 1: Measure Each Angle
Using a protractor, measure each angle in the image. Here are the approximate measurements for each angle:

1. Angle 1: Approximately 45°
2. Angle 2: Approximately 120°
3. Angle 3: Approximately 60°
4. Angle 4: Approximately 180°
5. Angle 5: Approximately 90°
6. Angle 6: Approximately 135°
7. Angle 7: Approximately 90°
8. Angle 8: Approximately 90°
9. Angle 9: Approximately 45°

#### Step 2: Classify Each Angle
Based on the measurements, classify each angle:

1. Angle 1 (45°): Acute
2. Angle 2 (120°): Obtuse
3. Angle 3 (60°): Acute
4. Angle 4 (180°): Straight
5. Angle 5 (90°): Right
6. Angle 6 (135°): Obtuse
7. Angle 7 (90°): Right
8. Angle 8 (90°): Right
9. Angle 9 (45°): Acute

Final Answer:

\[
\begin{array}{|c|c|c|}
\hline
\text{Angle} & \text{Measurement} & \text{Classification} \\
\hline
1 & 45^\circ & \text{Acute} \\
2 & 120^\circ & \text{Obtuse} \\
3 & 60^\circ & \text{Acute} \\
4 & 180^\circ & \text{Straight} \\
5 & 90^\circ & \text{Right} \\
6 & 135^\circ & \text{Obtuse} \\
7 & 90^\circ & \text{Right} \\
8 & 90^\circ & \text{Right} \\
9 & 45^\circ & \text{Acute} \\
\hline
\end{array}
\]

Thus, the final answer is:
\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Angle} & \text{Measurement} & \text{Classification} \\
\hline
1 & 45^\circ & \text{Acute} \\
2 & 120^\circ & \text{Obtuse} \\
3 & 60^\circ & \text{Acute} \\
4 & 180^\circ & \text{Straight} \\
5 & 90^\circ & \text{Right} \\
6 & 135^\circ & \text{Obtuse} \\
7 & 90^\circ & \text{Right} \\
8 & 90^\circ & \text{Right} \\
9 & 45^\circ & \text{Acute} \\
\hline
\end{array}
}
\]