Q: What is a polygon that is both equilaterial and equiangular?

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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.

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A regular polygon

There are many polygons that are both equiangular and equilateral. For example, squares and equilateral triangles are both equiangular and equilateral polygons. The general term for polygons that are both equiangular and equilateral is regular.

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Yes, a regular polygon is always equiangular.

Equilateral and Equiangular triangle

A polygon so described is called a regular polygon. You'll find a link below.

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.

A regular polygon must be equiangular as well as equilateral. A rhombus is an example of a polygon that is equilateral but not equiangular.

All regular polygons are equiangular because their side lengths are equal.

regular polygon ^____^

Regular polygon is equilateral and equiangular. Irregular polygon is non-equilateral and non-equiangular.