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Basically, no. A polygon can be any shape with a certain number of sides. Just take 3 sides - you have a triangle. Now a triangle could have one right angle, but it could also have none.
In four sides - a Square or other rectangle has 4, but non-rectangular qadrilaterals may have one or two or none.
So there is no way of relating the number of right angles to the number of sides in an object.