There is no special name for that. However, if the sides are also equal, it is called a regular polygon.
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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.)
If all of its interior angles are equal then it is a regular polygon
It is then called a regular polygon when all angles and sides are of equal values.
That would be called a regular polygon, one with congruent(equal) side legnths and congruent angles.