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 identical parts

The image (a film reel - like shape) has 6 identical "slots" (the white circular parts) arranged 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, $n = 6$. So we calculate $\frac{360^{\circ}}{6}$.
$\frac{360^{\circ}}{6}=60^{\circ}$

Answer:

$60$