It is a regular polygon
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Yes, a regular polygon is always equiangular.
Equilateral and Equiangular triangle
The terms equiangular means a polygon having the same angle between any two adjacent sides. Equilateral means all sides of equal length. A polygon can be equilateral without being equiangular (the rhombus) and equiangular without being equilateral (the rectangle). If a polygon is both equilateral and equiangular, it is a "regular polygon" such as the pentagon, square, and equilateral triangle.
Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.
A rectangle, for example.