How To Get The Exterior Angle Of A Polygon

Since the polygon has 6 exterior angles it has 6 sides.

How to get the exterior angle of a polygon. The interior angle is 180 - 72 108. You will see that the angles combine to a full 360 circle. The sum total of these angles is always equal to 360.

Measure of a Single Exterior Angle Formula to find 1 angle of a regular convex polygon of n sides. The interior angle and the exterior angle are supplementary to each other. As a demonstration of this drag any vertex towards the center of the polygon.

For example an eight-sided regular polygon an octagon has exterior angles that are 45 degrees each because 3608 45. This is a remarquable result because independent of the number of sides and shape provided it is convex. Let us Consider a polygon with m number of sides or.

As you can see for regular polygons all the exterior angles are the same and like all polygons they add to 360 see note below. This is why the formula works. Exterior Angles of Polygons The Exterior Angle is the angle between any side of a shape and a line extended from the next side.

4 right angles 490360 degrees. A regular quadrilateral has 4 4 4 4 interior angles equal in size so the four exterior angles are equal. ANGLES PROPERTIES OF POLYGONS.

The total of the exterior angles of the polygon does not depend on the number of sides of the polygon. Exterior angles of a polygon add up to 360 360 360 360. Count the number of sides of the polygon being analyzed.