A polygon with 6 equal sides and angles is called a hexagon.
A polygon with sides of equal length and equal angles is termed a regular polygon.
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.
A polygon with 6 equal sides is called a regular hexagon (regular if it has all angles equal).
A polygon whose sides are not equal is known as an irregular polygon. A regular polygon has equal sides and angles.
All of the angles are equal in a "regular" polygon. (All of the sides are too.)
A regular polygon
It is called an irregular polygon. However, an irregular polygon can have congruent sides if all angles are not equal.
A regular polygon has equal angles AND sides.
There is no special name for that. However, if the sides are also equal, it is called a regular polygon.
It is then called a regular polygon when all angles and sides are of equal values.
Not only can a regular polygon have equal angles and sides, it must have them.