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Eight.
A regular octogan has 8 lines of symetry, and a irregular octogan has 2 lines of symetry.
An octogan It wouldn't be an octogan unless all the sides were the same length. OCTO means 8
An irregular octogan?
Their are 4 pairs of parallel sides on an octagon. In fact, for any regular polygon with an even number of sides, there will be # of sides / 2 number of pairs of parallel lines.