https://file.aiquickdraw.com/mathbot/file/1729646157661787ge07t.jpg

The image shows a regular polygon, specifically an octagon (8-sided figure), with the question "What is the angle of rotation?".

For regular polygons, the angle of rotation can be calculated using the formula:

\[
\text{Angle of rotation} = \frac{360^\circ}{n}
\]

where \( n \) is the number of sides of the polygon.

Since this is an octagon (\( n = 8 \)):

\[
\text{Angle of rotation} = \frac{360^\circ}{8} = 45^\circ
\]

Therefore, the correct answer is **45°**.

Would you like any more details or further clarification?

Here are 5 related questions:
1. How would the angle of rotation change for a decagon (10-sided polygon)?
2. What is the total sum of the interior angles of an octagon?
3. How does rotational symmetry relate to the angle of rotation?
4. Can irregular polygons have rotational symmetry?
5. What is the difference between rotational and reflectional symmetry?

**Tip:** The smaller the number of sides, the larger the angle of rotation for a regular polygon.

Understand how to calculate the angle of rotation for a regular octagon, where each rotation corresponds to 360° divided by the number of sides. This geometry problem focuses on rotational symmetry and is suitable for students in Grades 7-9.

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