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 sections

The orange slice image has 8 equal - sized sections (the orange parts).

Step2: Calculate the rotational symmetry angle

For a figure with rotational symmetry, the smallest angle of rotation (the angle by which we can rotate the figure so that it looks the same) is given by the formula $\theta=\frac{360^{\circ}}{n}$, where $n$ is the number of equal - sized rotational symmetry sections. Here, $n = 8$. So, $\theta=\frac{360^{\circ}}{8}=45^{\circ}$.

Answer:

$45$