There is no specific name. For example, if you number the sides of a regular hexagon sequentially from 1 to 6, then sides 1 and 3 are not parallel but there is no specific name for that pair. In the context of the hexagon they do not meet - even if they do so way outside the hexagon.
If they do meet up in the context of the shape, then they will be adjacent or intersecting sides.
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It can do. The non-parallel sides of an isosceles trapezium will be equal. Also, one of the non-parallel sides could be equal to one of the parallel sides.
A trapezium has two parallel sides (of unequal length) and two non-parallel sides.
Yes the non parallel sides of an isosceles trapezoid are congruent
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°.
Any polygon with four or more sides can have a pair of parallel sides. It is also possible to to have non-polygonal shapes - eg a cigar-shape - that has parallel sides.