No.
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by every letter on the vertex or side you can put a letter and that will name the polygon.
Oh, dude, the letter "S" has zero angles because it's a curve, not a polygon. It's like asking how many legs a cloud has—just doesn't make sense, man. So, yeah, no angles in the letter "S."
polygon
Yes, there is. For example, a box-letter arrow is a polygon. A stick-letter arrow is not, because it is not in 1 piece
No it is not. A polygon is a plane space enclosed by straight lines. A letter "E" does not enclose any space and so cannot be a polygon.