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 ship's wheel has 8 spokes.

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 equal - angle - spaced parts (here, the number of spokes). So, with $n = 8$, we have $\frac{360^\circ}{8}=45^\circ$.

Answer:

$45$