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A regular polygon has equal angles AND sides.
Not only can a regular polygon have equal angles and sides, it must have them.
A polygon with sides of equal length and equal angles is termed a regular polygon.
All of the angles are equal in a "regular" polygon. (All of the sides are too.)
A polygon has 3 or more sides and is called regular when all sides and angles are equal and it is irregular when its sides and angles are not equal.