Free printable worksheet for practicing angle measurement with protractors

To solve the problem of measuring each angle using a protractor, we need to carefully observe the orientation of the rays and the scale on the protractor. Here's how to approach each angle:

General Steps:

1. Identify the Vertex: The vertex is the point where the two rays meet.
2. Align the Protractor: Place the center of the protractor exactly on the vertex of the angle.
3. Align One Ray: Align one ray with the baseline of the protractor (usually the horizontal line at the bottom).
4. Read the Angle: Look at the scale that starts from 0° along the baseline and read the angle where the second ray intersects the protractor.

Detailed Solution for Each Angle:

#### 1)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 60° on the outer scale.
- Angle = 60°

#### 2)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 90° on the outer scale.
- Angle = 90°

#### 3)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 120° on the outer scale.
- Angle = 120°

#### 4)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 45° on the outer scale.
- Angle = 45°

#### 5)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 150° on the outer scale.
- Angle = 150°

#### 6)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 75° on the outer scale.
- Angle = 75°

#### 7)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 180° on the outer scale.
- Angle = 180°

#### 8)
- The vertex is at the center of the protractor.
- One ray aligns with the 0° mark.
- The other ray points to 30° on the outer scale.
- Angle = 30°

Final Answer:

\[
\boxed{
\begin{array}{ll}
1) & 60^\circ \\
2) & 90^\circ \\
3) & 120^\circ \\
4) & 45^\circ \\
5) & 150^\circ \\
6) & 75^\circ \\
7) & 180^\circ \\
8) & 30^\circ \\
\end{array}
}
\]