Determining Angles with Protractors Worksheet Download - Free Printable

To solve the problem of determining the angles using a protractor, we need to carefully observe each image and read the angle measurements from the protractor. Here's a step-by-step explanation for each angle:

General Steps:

1. Identify the vertex of the angle (the point where the two lines meet).
2. Align the protractor's center with the vertex.
3. Ensure one side of the angle aligns with the baseline of the protractor.
4. Read the angle measurement from the scale that starts at 0° along the baseline.

Solutions for Each Angle:

#### 1)
- The angle is measured starting from the baseline (0°) on the outer scale.
- The other line crosses the protractor at 60°.
- Answer: 60°

#### 2)
- The angle is measured starting from the baseline (0°) on the inner scale.
- The other line crosses the protractor at 120°.
- Answer: 120°

#### 3)
- The angle is measured starting from the baseline (0°) on the outer scale.
- The other line crosses the protractor at 45°.
- Answer: 45°

#### 4)
- The angle is measured starting from the baseline (0°) on the inner scale.
- The other line crosses the protractor at 75°.
- Answer: 75°

#### 5)
- The angle is measured starting from the baseline (0°) on the outer scale.
- The other line crosses the protractor at 135°.
- Answer: 135°

#### 6)
- The angle is measured starting from the baseline (0°) on the inner scale.
- The other line crosses the protractor at 30°.
- Answer: 30°

#### 7)
- The angle is measured starting from the baseline (0°) on the outer scale.
- The other line crosses the protractor at 105°.
- Answer: 105°

#### 8)
- The angle is measured starting from the baseline (0°) on the inner scale.
- The other line crosses the protractor at 150°.
- Answer: 150°

#### 9)
- The angle is measured starting from the baseline (0°) on the outer scale.
- The other line crosses the protractor at 90°.
- Answer: 90°

#### 10)
- The angle is measured starting from the baseline (0°) on the inner scale.
- The other line crosses the protractor at 40°.
- Answer: 40°

Final Answers:

1. 60°
2. 120°
3. 45°
4. 75°
5. 135°
6. 30°
7. 105°
8. 150°
9. 90°
10. 40°

Boxed Final Answer:

\[
\boxed{60^\circ, 120^\circ, 45^\circ, 75^\circ, 135^\circ, 30^\circ, 105^\circ, 150^\circ, 90^\circ, 40^\circ}
\]