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While I know this is supposed to be a joke, surely the angles of a shape must be on the inside of the shape.
Lol
I just read another comment here pointing out that square is a polygon, which requires having only straight lines.
I think this would be a stronger argument.
I’m not aware of any shape that is defined by the angles of its outsides.
It’s the union of two concentric shapes: an annular sector and a circle.