Check whether the following angles can be a possible angle of rotation for a

figure having rotational symmetry.

(a) 24° (b) 25°

To check whether a given angle can be a possible angle of rotation for a figure with rotational symmetry, we need to consider the rule for rotational symmetry. The angle of rotation must divide evenly into \(360^\circ\), the full rotation.

### (a) 24°
Check if 24° divides 360° evenly:
\[
\frac{360^\circ}{24^\circ} = 15
\]
Since 15 is a whole number, 24° can be an angle of rotation for a figure with rotational symmetry.

### (b) 25°
Check if 25° divides 360° evenly:
\[
\frac{360^\circ}{25^\circ} = 14.4
\]
Since 14.4 is not a whole number, 25° cannot be an angle of rotation for a figure with rotational symmetry.

### Conclusion:
- **24°** is a valid angle of rotation for a figure with rotational symmetry.
- **25°** is **not** a valid angle of rotation for a figure with rotational symmetry.

Would you like further explanation or details?

Here are 5 related questions:
1. What are some common examples of rotational symmetry in real-life objects?
2. How can we determine the order of rotational symmetry of a figure?
3. What is the smallest possible angle of rotation for a figure with rotational symmetry?
4. Can a figure have more than one angle of rotation symmetry?
5. What is the relationship between angle of rotation and the order of symmetry?

**Tip:** Any valid angle of rotation for a figure must divide 360° without leaving a remainder.

Check whether the following angles can be a possible angle of rotation for a figure having rotational symmetry: (a) 24° (b) 25°

Learn how to determine if 24° and 25° can be angles of rotation for a figure with rotational symmetry. Explore the concept of rotational symmetry and how to apply division of 360° to check for valid angles. Suitable for students in Grades 6-8.

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