Measuring angles using a Protractor Worksheets|Grade 5 - Free Printable

To solve the problem of measuring the angles in the provided worksheet, you would typically use a protractor. However, since I cannot physically measure the angles from the image, I will explain the general process for measuring angles using a protractor and provide some insights into how to estimate or identify common angles.

Steps to Measure Angles Using a Protractor:

1. Identify the Vertex: The vertex is the point where the two rays 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 aligns with the baseline of the protractor.
3. Read the Angle: Look at the scale on the protractor that starts from 0° along the baseline. Follow the second ray of the angle to read the measurement where it intersects the protractor's scale.

Common Angles to Recognize:

- Acute Angles: Less than 90°
- Right Angles: Exactly 90° (often marked with a small square)
- Obtuse Angles: Between 90° and 180°
- Straight Angles: Exactly 180°

Estimation Tips:

- If an angle looks like a right angle, it is likely around 90°.
- If an angle is smaller than a right angle, it is acute (less than 90°).
- If an angle is larger than a right angle but less than a straight line, it is obtuse (between 90° and 180°).

Solution Explanation for Each Angle:

Since I cannot measure the angles directly, I will provide a general approach for each type of angle shown in the worksheet:

1. Angle 1: Appears to be an obtuse angle, likely around 120°–150°.
2. Angle 2: Appears to be an acute angle, likely around 45°–60°.
3. Angle 3: Appears to be an acute angle, likely around 30°–45°.
4. Angle 4: Appears to be a right angle, exactly 90°.
5. Angle 5: Appears to be an acute angle, likely around 30°–45°.
6. Angle 6: Appears to be an obtuse angle, likely around 120°–150°.
7. Angle 7: Appears to be an obtuse angle, likely around 120°–150°.
8. Angle 8: Appears to be an obtuse angle, likely around 120°–150°.
9. Angle 9: Appears to be an acute angle, likely around 60°.
10. Angle 10: Appears to be an obtuse angle, likely around 120°–150°.
11. Angle 11: Appears to be a right angle, exactly 90°.
12. Angle 12: Appears to be an acute angle, likely around 30°–45°.

Final Answer (Estimated Values):

\[
\begin{aligned}
&1. \approx 135^\circ \\
&2. \approx 50^\circ \\
&3. \approx 35^\circ \\
&4. = 90^\circ \\
&5. \approx 40^\circ \\
&6. \approx 130^\circ \\
&7. \approx 135^\circ \\
&8. \approx 135^\circ \\
&9. \approx 60^\circ \\
&10. \approx 135^\circ \\
&11. = 90^\circ \\
&12. \approx 30^\circ \\
\end{aligned}
\]

\boxed{
\begin{aligned}
&1. \approx 135^\circ \\
&2. \approx 50^\circ \\
&3. \approx 35^\circ \\
&4. = 90^\circ \\
&5. \approx 40^\circ \\
&6. \approx 130^\circ \\
&7. \approx 135^\circ \\
&8. \approx 135^\circ \\
&9. \approx 60^\circ \\
&10. \approx 135^\circ \\
&11. = 90^\circ \\
&12. \approx 30^\circ \\
\end{aligned}
}