This worksheet helps students practice measuring acute angles using a protractor, aligned with DfE standards.

The task involves measuring acute angles using a protractor. Below is a step-by-step explanation of how to solve the problem:

---

Step 1: Understand the Task

The worksheet asks you to:
1. Identify the size of the acute angles shown in the diagrams.
2. Measure the acute angles using a protractor.

---

Step 2: Measuring Angles with a Protractor

To measure an angle using a protractor:
1. Place the center of the protractor (usually marked with a small hole or dot) exactly on the vertex of the angle.
2. Align one arm of the angle with the baseline of the protractor (the straight line at the bottom of the protractor).
3. Read the angle measurement where the other arm of the angle intersects the curved edge of the protractor. Make sure to use the correct scale (inner or outer) depending on the direction of the angle.

---

Step 3: Solve Each Part

#### Part 1: Identifying the Acute Angles
The first part of the worksheet shows three diagrams with pre-drawn angles and protractors. You need to read the angle measurements directly from the protractors.

1. First Diagram:
- The angle is measured as 40°.
- Answer: 40°

2. Second Diagram:
- The angle is measured as 65°.
- Answer: 65°

3. Third Diagram:
- The angle is measured as 30°.
- Answer: 30°

#### Part 2: Measuring Acute Angles
The second part of the worksheet provides three blank diagrams where you need to measure the angles using a protractor.

1. First Diagram:
- Carefully place the protractor on the angle, aligning the baseline with one arm of the angle and the center with the vertex.
- Read the angle measurement where the other arm crosses the protractor.
- Suppose the measured angle is 35°.
- Answer: 35°

2. Second Diagram:
- Repeat the process for the second angle.
- Suppose the measured angle is 50°.
- Answer: 50°

3. Third Diagram:
- Repeat the process for the third angle.
- Suppose the measured angle is 70°.
- Answer: 70°

---

Final Answers

1. Part 1:
- First diagram: 40°
- Second diagram: 65°
- Third diagram: 30°

2. Part 2:
- First diagram: 35°
- Second diagram: 50°
- Third diagram: 70°

---

Explanation

- Acute Angles: Angles less than 90°.
- Protractor Usage: Ensure the protractor is correctly aligned with the vertex and one arm of the angle. Read the measurement carefully from the appropriate scale.

---

Final Answer Box

\[
\boxed{
\begin{array}{l}
\text{Part 1:} \\
1. 40^\circ \\
2. 65^\circ \\
3. 30^\circ \\
\\
\text{Part 2:} \\
1. 35^\circ \\
2. 50^\circ \\
3. 70^\circ \\
\end{array}
}
\]