Protractor worksheet for measuring angles.

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

Steps to Measure an Angle Using a Protractor:

1. Identify the Vertex: The vertex is the point where the two rays (or lines) of the angle meet.
2. Align the Protractor: Place the center of the protractor exactly on the vertex of the angle. Ensure that one of the rays of the angle aligns with 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 aligned with the baseline.
4. Determine the Angle: Follow the second ray of the angle 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:

#### 1. Angle 1
- The angle opens to the right.
- Align the protractor so that the baseline is along the horizontal ray.
- The second ray points to 90° on the protractor.
- Answer: 90°

#### 2. Angle 2
- The angle is a straight line.
- A straight line forms an angle of 180°.
- Answer: 180°

#### 3. Angle 3
- The angle opens to the right.
- Align the protractor so that the baseline is along the horizontal ray.
- The second ray points to 60° on the protractor.
- Answer: 60°

#### 4. Angle 4
- The angle opens to the right.
- Align the protractor so that the baseline is along the bottom ray.
- The second ray points to 45° on the protractor.
- Answer: 45°

#### 5. Angle 5
- The angle opens to the right.
- Align the protractor so that the baseline is along the horizontal ray.
- The second ray points to 30° on the protractor.
- Answer: 30°

#### 6. Angle 6
- The angle opens to the right.
- Align the protractor so that the baseline is along the bottom ray.
- The second ray points to 75° on the protractor.
- Answer: 75°

#### 7. Angle 7
- The angle opens to the right.
- Align the protractor so that the baseline is along the horizontal ray.
- The second ray points to 120° on the protractor.
- Answer: 120°

#### 8. Angle 8
- The angle opens to the right.
- Align the protractor so that the baseline is along the bottom ray.
- The second ray points to 135° on the protractor.
- Answer: 135°

Final Answers:

\[
\boxed{
\begin{array}{ll}
1) & 90^\circ \\
2) & 180^\circ \\
3) & 60^\circ \\
4) & 45^\circ \\
5) & 30^\circ \\
6) & 75^\circ \\
7) & 120^\circ \\
8) & 135^\circ \\
\end{array}
}
\]