A polygon with 4 or more sides can have a pair of parallel sides.
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Some types of quadrilaterals don't have parallel sides. Such as a diamond or a kite.
Parallel sides are sides that (in a plane) do not meet whereas sides which are not parallel do meet at some point at an angle greater than 0°.
Trapezoids have only one pair of parallel sides. A parallelogram has two pair of parallel sides.
Not necessarily; A square, rectangle, rhombus, parallelogram all have some parallel sides, but a kite does not have any.
A hexagon (6 sides) has three sets of parallel sides.