Exterior Angles in a Polygon
The sum of the exterior angles of a polygon is much easier to remember than what you just learned about the interior angles in a polygon
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The sum of the exterior angles of any convex polygon is 360°. It does not matter how many sides the polygon has, the exterior angles will always sum to 360°. |
Example: What is the sum of the exterior angles of a regular hexagon? Find the measure of each angle.
The exterior angles will have a sum of 360°. Since it is a regular hexagon and all six angles will be congruent, to find each angle measure, we simply divide 360° by 6.
Measure of each exterior angle = 
