Maximum Exterior Angle of a Regular Polygon
Regular polygons are polygons with all sides and angles equal. The sum of all exterior angles of any polygon is always 360 degrees. Therefore, to find the maximum exterior angle of a regular polygon, we need to divide 360 by the number of sides in the polygon.

Formula
The formula to calculate the exterior angle of a regular polygon is:
Exterior Angle = 360° / Number of Sides

Explanation
- For a regular polygon with 3 sides (equilateral triangle), the exterior angle would be 360° / 3 = 120°.
- For a regular polygon with 4 sides (square), the exterior angle would be 360° / 4 = 90°.
- As the number of sides in a regular polygon increases, the exterior angle decreases.

Maximum Exterior Angle
The maximum exterior angle for a regular polygon is when the polygon has the minimum number of sides, which is a triangle. Therefore, the maximum exterior angle of a regular polygon is 120 degrees, which occurs in an equilateral triangle.
In conclusion, the maximum exterior angle of a regular polygon is determined by the formula 360° / Number of Sides, with the maximum angle occurring in a triangle at 120 degrees.