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Anon plays Professor Layton
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C does have 4 sides and 4 corners and all of its corners add up to 360°, same as A since the interior angles of all quadrilaterals add up to 360°
C is regular, A and B are irregular
I think OP is saying it doesn't have smooth sides or corners and is not a quad at all, but actually an irregular polygon due to the jittered sides and overlapping corners.
Yes, that's exactly what I said. B doesn't have those things you mentioned, meaning A and C do.