The problem asks to determine whether the given figures have rotational symmetry, and if so, to identify the smallest angle of rotation for which the figure appears unchanged.

Left Figure:

• The figure resembles the shape of a "4."
• Rotational Symmetry: No. The "4" does not appear unchanged at any rotation less than 360°.
• Angle of Rotation: Not applicable since it lacks rotational symmetry.

Right Figure:

• The right figure has three arms, forming a shape with apparent symmetry.
• Rotational Symmetry: Yes. The figure appears unchanged if rotated by certain angles.
• Smallest Angle of Rotation: Since there are three arms, the figure has rotational symmetry at multiples of $\frac{360^\circ}{3} = 120^\circ$. Therefore, the smallest angle of rotation is 120°.

Would you like any further explanation on rotational symmetry? Here are some related questions to expand on the topic:

1. What is the difference between rotational and reflectional symmetry?
2. Can a figure have both rotational and reflectional symmetry? Provide examples.
3. How does the number of arms (or sections) in a shape relate to its rotational symmetry?
4. Can a figure have more than one angle of rotational symmetry?
5. How can rotational symmetry be applied in real-life objects or designs?

Tip: For any figure with rotational symmetry, the smallest angle of rotation is always $\frac{360^\circ}{n}$, where n is the number of times the figure fits into itself within a full rotation (360°).