A hexagon.
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A triangle. It has only three sides!
A cube would fit the given description
Angle
A triangle cannot have two parallel sides. In order for a figure to be a triangle, it must be a closed figure with three sides and three angles. If two of the sides were parallel, there is no way the figure could be closed by only one other line.
A regular hexagon has three sets (pairs) of parallel line segments that form it.