A nonagon is a nine-sided polygon. In a nonagon, there are four pairs of parallel lines. This is because the nonagon can be divided into three sets of parallel lines, each containing three parallel lines. Each set of parallel lines consists of three pairs of parallel lines.
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On a quick estimate, I would think 18, 9 for each interior side and another 9 for each interior angle. * * * * * A nonagon has only 9 lines so the above answer is nonsense. With 9 lines you can have at most 4 pairs of parallel lines (and one not parallel to any). Or you could have a concave nonagon with 1 pair, 1 triplet and 1 quartet of parallel lines, or some other combination.
A pentagon has no parallel lines.
Here are three shapes that have two pairs of parallel lines: square parallelogram rectangle There are many polygons with at least two pairs of parallel lines. hexagon (has 3 pairs of parallel lines) octagon (has 4 pairs) decagon (has 5 pairs)
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A regular pentagon has no parallel lines.