Answer:
60 degrees.
Explanation:
We know that we can rotate the image by a total of 360 degrees until we reach the original point again.
To rotate the image to a point where the image looks the same, we need to take a look at how we can do this. We want to line up the image with the gap between the two white semicircles. There are a total of 6 of these gaps:
360/6 = 60 degree rotations will make the image the same.
I hope this helps!