It can have none, one (1 pair), two (2 pairs), 3 (one triplet), 4 (two pairs), 5 (one pair + one triplet) or 6 (three pairs or two triplets) of parallel lines.
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It has 9 diagonals whether or not if its a regular or an irregular hexagon
Parallel lines within a circle are infinite.
A regular hexagon as no right angles. An irregular hexagon could have from none to as many as five right angles.
6 lines of symmetry for a 2-d hexagon
A regular hexagon has zero right angles. An irregular convex hexagon could have 0-3.