It is a five sided polygon. At least one interior angle is greater than 180 degrees. This causes some of the vertices of the pentagon to point in toward the center.
An alternate definition is there exists a line that will cut the polygon in 4 or more places.
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A [concave] pentagon.
Concave pentagon, an irregular pentagon.
It can be either.
A five sided pentagon has 5 diagonals
If the polygon above has 5 sides is it a concave or a convex