Question

this image has rotational symmetry. what is the smallest number of degrees you need to rotate the image for it to look the same?

Explanation:

Step1: Count the number of spokes

The wheel (image) has 8 spokes (or identical parts around the center).

Step2: Calculate the rotational symmetry angle

The formula for the smallest rotational symmetry angle is $\frac{360^\circ}{n}$, where $n$ is the number of identical parts. Here, $n = 8$. So, $\frac{360^\circ}{8}=45^\circ$.

Answer:

$45$ degrees