Three pairs: all six sides are members of a parallel pair.
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If it's a 'regular' hexagon, then it has three pairs of parallel lines. If the hexagon isn't 'regular', then it's not possible to answer the question with the information given in it.
A regular hexagon has 6 parallel sides (3 pairs)
A regular hexagon has six lines of symmetry.
A regular hexagon has 3 pairs of parallel sides (6 sides).
A hexagon has a total of three pairs of parallel lines. Each pair of parallel lines is opposite each other in the hexagon. This is because a hexagon has six sides, and opposite sides are parallel to each other. Therefore, a hexagon has three pairs of parallel lines.