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 blades

The image (a fan - like figure) has 8 blades.

Step2: Calculate the rotational symmetry angle

For a figure with \(n\) equal - part rotational symmetry, the smallest angle of rotation (the angle of rotational symmetry) is given by the formula \(\theta=\frac{360^{\circ}}{n}\). Here, \(n = 8\), so \(\theta=\frac{360^{\circ}}{8}=45^{\circ}\).

Answer:

\(45\)