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I looked at the diagrams constructed of different polygons. The first one to appear on the page (diagram 1) was constructed of 9 Hexagons around a point. The angle around a point is equal to 360 degrees. Therefore, to find out the angle of rotation I divide 360 by 9 to get the answer of 40. 40 degrees is,therefore, the angle of rotation.

The next diagram to appear on the page(diagram 2) was constructed of pentagons and there were 8 of them in total around a point. So, I divided 360 by 8 to get an answer of 45. Which is equal to the angle of rotation.