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 symmetry order

The shape is a hexagonal arrangement with 6 identical surrounding hexagons, so its rotational symmetry order is 6.

Step2: Calculate rotation angle

Divide full rotation (360°) by symmetry order.
$\frac{360^\circ}{6} = 60^\circ$

Answer:

$60^\circ$