Some concave hexagons can. For an extremely crude figure, but the best that this browser will allow, see below (the full stops are only for positioning the diagonals):
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yes there are several ways to tesselate this figure.
Any hexagon has six sides.
It can be but need not be.
A regular hexagon has zero right angles. An irregular convex hexagon could have 0-3.
By themselves, only 3: triangle, square and hexagon. But there are combinations: eg octagon + square.