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Pentagon shape with one pair of parallel sides

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2 Answers

Parallel lines have equal angles to a common line that connects them. If we took the parallel sides and connected them on the same ends at a 90 degree angle with an another side, the two remaining sides would connect the other ends of the parallel sides completing the pentagon.

The two most common pentagon shapes that have parallel sides I can think of are the home plate on a baseball field and a simple drawing of the outline of a house.

http://mathworld.wolfram.com/images/eps-gif/HomePlate_800.gif