Where does the exterior angle theorem come from

The video tutorial explains how to calculate the sum of exterior angles in different polygons, including squares, triangles, and octagons. It begins with a discussion on the properties of exterior angles and their relationship with interior angles, emphasizing the concept of supplementary angles. The tutorial demonstrates calculations for a square and an equilateral triangle, showing that the sum of exterior angles is always 360 degrees. It concludes with a detailed example of an octagon, reinforcing the consistent sum of exterior angles across polygons.

What is the sum of all exterior angles of a polygon?

What is the measure of each interior angle in an equilateral triangle?

How do you determine the measure of an exterior angle if the interior angle is known?

What is the relationship between interior and exterior angles in a triangle?

Explain why the sum of the exterior angles of any polygon is always 360 degrees.

How do you calculate the sum of interior angles in an octagon?

If each interior angle of a regular octagon is 135 degrees, what is the measure of each exterior angle?