Math worksheet for students to practice measuring angles using a protractor.

To solve the problem of determining the angles using a protractor, we need to carefully measure each angle shown in the images. Here's a step-by-step explanation of how to measure an angle with a protractor:

Steps to Measure an Angle Using a Protractor:

1. Identify the Vertex: The vertex is the point where the two rays (sides of the angle) meet.
2. Place the Protractor: Align the center of the protractor with the vertex of the angle. Ensure that one ray of the angle passes through the baseline of the protractor.
3. Read the Scale: Protractors have two scales, one starting from 0° on the left and the other from 0° on the right. Choose the scale that starts from the ray that aligns with the baseline.
4. Read the Angle: Follow the second ray to see where it intersects the protractor's scale. This intersection point gives the measure of the angle.

Solution for Each Angle:

Let's go through each angle in the image and determine its measure:

#### 1)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 60° on the outer scale.
- Answer: 60°

#### 2)
- The angle opens to the left.
- The baseline ray aligns with the 0° mark on the inner scale.
- The second ray points to 120° on the inner scale.
- Answer: 120°

#### 3)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 45° on the outer scale.
- Answer: 45°

#### 4)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 30° on the outer scale.
- Answer: 30°

#### 5)
- The angle opens to the left.
- The baseline ray aligns with the 0° mark on the inner scale.
- The second ray points to 135° on the inner scale.
- Answer: 135°

#### 6)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 75° on the outer scale.
- Answer: 75°

#### 7)
- The angle opens to the left.
- The baseline ray aligns with the 0° mark on the inner scale.
- The second ray points to 105° on the inner scale.
- Answer: 105°

#### 8)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 90° on the outer scale.
- Answer: 90°

#### 9)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 15° on the outer scale.
- Answer: 15°

#### 10)
- The angle opens to the right.
- The baseline ray aligns with the 0° mark on the outer scale.
- The second ray points to 100° on the outer scale.
- Answer: 100°

Final Answers:

1. 60°
2. 120°
3. 45°
4. 30°
5. 135°
6. 75°
7. 105°
8. 90°
9. 15°
10. 100°

Thus, the final answer is:
\[
\boxed{60, 120, 45, 30, 135, 75, 105, 90, 15, 100}
\]