simply count the edges - e.g. a square has 4
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360/exterior angle = number of sides of a regular polygon
The vertex is just the corner or angle so the polygon.
The formula is: 0.5*(n2-3n) where n is the number of sides of the polygon
Technically, a polygon can have an unlimited number of sides.
0.5*(n2-3n) where n is equal to the number of sides of the polygon