Question
What is the sum of exterior angles of any polygon
Answers
Answered by
GPT-4 Turbo
The sum of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. This is true for a polygon of any shape, regular or irregular, convex or concave, as long as the exterior angles are defined as the angles formed by each side of the polygon and the extension of its adjacent side. Each exterior angle is supplementary to the corresponding interior angle of the polygon, meaning they add up to 180 degrees.
A way to visualize this is by traveling around the polygon; as you make a full journey around the perimeter, you end up turning through a complete 360 degrees. This concept is often used in geometry to solve for the measures of individual exterior angles, particularly in regular polygons where all exterior angles are equal.
A way to visualize this is by traveling around the polygon; as you make a full journey around the perimeter, you end up turning through a complete 360 degrees. This concept is often used in geometry to solve for the measures of individual exterior angles, particularly in regular polygons where all exterior angles are equal.