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When the diagonals at the point of intersection aremeasured, we find that the angles amount to 360o.
This is also found to be the case with other regular polygons (either bymeasuring the angles at the point of intersection or measuring the angles ofintersection when the polygon is rotated around a fixed point-a tessellation).
As mentioned before, a shape tessellates if it can fitrepeatedly into a pattern around a central point withoutoverlapping points or gaps.As you can see from the Octagon:Its intersecting angles equal 360o, but cannot tessellate: