A pentagon is a polygon with an interior angle sum measure of 540 degrees and 5 sides.
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An irregular pentagon
A polygon is a 2-dimensional closed figure that has at least three sides. A pentagon is a 2-dimensional closed figure that has five and only five sides, so it is a kind of polygon.
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Polygons by definition have three or more sides. A pentagon has five sides. A pentagon is a polygon.
When it is a building otherwise a 5 sided polygon is a pentagon