Estimating Angles Worksheet | Fun and Engaging Year 5 PDF Worksheets - Free Printable

Problem Overview:

The task is to estimate the size of each angle and classify it as acute, right, obtuse, or reflex. An acute angle is less than 90°, a right angle is exactly 90°, an obtuse angle is between 90° and 180°, and a reflex angle is greater than 180° but less than 360°.

Solution:

#### Step 1: Analyze Each Angle
We will estimate the size of each angle and classify it based on its appearance.

#### Angles to Estimate:
1. Example (Already Done):
- Angle: Acute
- Estimate: 35°
- Type: ACUTE

2. Angle 1:
- The angle appears smaller than 45°.
- Estimate: 30°
- Type: ACUTE

3. Angle 2:
- The angle appears larger than 45° but smaller than 90°.
- Estimate: 60°
- Type: ACUTE

4. Angle 3:
- The angle appears close to 90° but slightly less.
- Estimate: 85°
- Type: ACUTE

5. Angle 4:
- The angle appears close to 90° but slightly more.
- Estimate: 95°
- Type: OBTUSE

6. Angle 5:
- The angle appears exactly 90°.
- Estimate: 90°
- Type: RIGHT

7. Angle 6:
- The angle appears larger than 90° but less than 180°.
- Estimate: 120°
- Type: OBTUSE

8. Angle 7:
- The angle appears close to 90° but slightly less.
- Estimate: 80°
- Type: ACUTE

9. Angle 8:
- The angle appears exactly 90°.
- Estimate: 90°
- Type: RIGHT

10. Angle 9:
- The angle appears larger than 90° but less than 180°.
- Estimate: 110°
- Type: OBTUSE

11. Angle 10:
- The angle appears larger than 180° but less than 360°.
- Estimate: 220°
- Type: REFLEX

#### Step 2: Fill in the Table
Using the estimates and classifications, we can fill in the table as follows:

| Angle | Estimate | Type |
|-------------|----------|----------|
| Example | 35° | ACUTE |
| Angle 1 | 30° | ACUTE |
| Angle 2 | 60° | ACUTE |
| Angle 3 | 85° | ACUTE |
| Angle 4 | 95° | OBTUSE |
| Angle 5 | 90° | RIGHT |
| Angle 6 | 120° | OBTUSE |
| Angle 7 | 80° | ACUTE |
| Angle 8 | 90° | RIGHT |
| Angle 9 | 110° | OBTUSE |
| Angle 10 | 220° | REFLEX |

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Angle} & \text{Estimate} & \text{Type} \\
\hline
\text{Example} & 35^\circ & \text{ACUTE} \\
\hline
\text{Angle 1} & 30^\circ & \text{ACUTE} \\
\hline
\text{Angle 2} & 60^\circ & \text{ACUTE} \\
\hline
\text{Angle 3} & 85^\circ & \text{ACUTE} \\
\hline
\text{Angle 4} & 95^\circ & \text{OBTUSE} \\
\hline
\text{Angle 5} & 90^\circ & \text{RIGHT} \\
\hline
\text{Angle 6} & 120^\circ & \text{OBTUSE} \\
\hline
\text{Angle 7} & 80^\circ & \text{ACUTE} \\
\hline
\text{Angle 8} & 90^\circ & \text{RIGHT} \\
\hline
\text{Angle 9} & 110^\circ & \text{OBTUSE} \\
\hline
\text{Angle 10} & 220^\circ & \text{REFLEX} \\
\hline
\end{array}
}
\]