A pentagon has 5 diagonals.
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Five. (Even a non-regular pentagon has 5 diagonals).
Pentagon
a Pentagon has 5 diagonals, they form a star inside the polygon
A polygon with n vertices has n*(n-3)/2 diagonals. Therefore, a pentagon, which has 5 vertices, has 5*(5-3)/2 = 5 diagonals.
a semi circle