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: Identify the number of equal - parts

The gear - like shape has 3 equal parts.

Step2: Use the formula for rotational symmetry

The formula for the smallest angle of rotation for a shape with \(n\) equal parts is \(\theta=\frac{360^{\circ}}{n}\), where \(n = 3\).
So, \(\theta=\frac{360^{\circ}}{3}=120^{\circ}\)

Answer:

\(120^{\circ}\)