## equiangular polygon

### An equiangular polygon is a polygon in which all interior angles are congruent, or equal

An equiangular polygon is a polygon in which all interior angles are congruent, or equal. In other words, each angle in an equiangular polygon has the same measure. This means that all the sides of the polygon are also congruent.

Some examples of equiangular polygons include equilateral triangles, squares, and regular hexagons. In an equilateral triangle, each angle measures 60 degrees, while in a square, each angle measures 90 degrees. In a regular hexagon, each angle measures 120 degrees.

It is important to note that not all polygons are equiangular. For example, a rectangle has two pairs of congruent angles (90 degrees), but the other two angles are not congruent. Similarly, a non-regular hexagon may have angles of varying measures.

One important property of equiangular polygons is that the sum of all interior angles is equal to (n-2) times 180 degrees, where n represents the number of sides in the polygon. This property holds true for any polygon, equiangular or not.

Equiangular polygons often have symmetry and regularity, making them aesthetically pleasing. They can also have practical applications, such as in architecture or design, where symmetrical shapes are desired.

##### More Answers:

Understanding the Exterior of a Polygon and its Characteristics in Geometry and MathematicsUnderstanding Polygons | Types, Properties, and Relationships

Understanding the Exterior Angle Theorem | Explained with Examples and Equations