The rule for a shape to be a polygon is it has to be a shape that has three or more straight edges, none of them can overlap, and they all have to be connected.
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It is: ('n'-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
If the vectors form a polygon, their sum is zero..
Yes and it is: ('n'-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon
Since any polygon can be constructed from a combination of other polygons, I would call this rule a "trivial property of polygons".
(number of sides - 2)*180 = total sum of interior angles