SOLUTION: Why is the sum of the external angles of any polygon=360

Algebra ->  Polygons -> SOLUTION: Why is the sum of the external angles of any polygon=360      Log On


   

Question 765694: Why is the sum of the external angles of any polygon=360
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
The Exterior Angle is the angle between any side of a shape,
and a line extended from the next side.
when you add up the Interior Angle and Exterior Angle you get a straight line, 180°-Supplementary Angles
it's proven that the sum of a triangle's angles, no matter what, always total 180 degrees. Because all polygons consist of triangles, the (number of sides - 2) multiplied by 180 is the total angle measure
or, the exterior angles add up to one full revolution (which is 360°)