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 shape's symmetry

The image is a snowflake - like shape, which is a regular hexagon - based design. A regular hexagon has 6 equal - sided and equal - angled parts around its center.

Step2: Calculate the rotational symmetry angle

The formula for the smallest angle of rotational symmetry of a regular polygon with \(n\) sides is \(\frac{360^{\circ}}{n}\). For a hexagon, \(n = 6\). So we calculate \(\frac{360^{\circ}}{6}\).
\(\frac{360^{\circ}}{6}=60^{\circ}\)

Answer:

\(60\)