Formula for Exterior Angles of a Polygon

Each exterior angle must be 360n where n is the number of sides Press play button to see. Side 2 Apothem tan.

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Since the sum of exterior angles is 360 degrees and each one measures 120 degrees we have Number of angles 360120 3.

. Therefore all its exterior angles measure the same as well that is 120 degrees. In each case at angle α similarly for the other two angles. Hence we can say if a polygon is convex then the sum of the degree measures of the exterior angles one at each vertex is 360.

Once at each end. An exterior angle of a polygon is made by extending only one of its sides in the outward direction. And we know from the tan formula above that.

All the Exterior Angles of a polygon add up to 360 so. The angles which the circumscribed circle forms with the sides of the triangle coincide with angles at which sides meet each other. This is due to the alternate segment theorem which states that the angle between the tangent and chord equals the angle.

Since the polygon has 3 exterior angles it. The side opposite angle α meets the circle twice. Exterior Angle of a regular octagon.

The angle next to an interior angle formed by extending the side of the polygon is the exterior angle.

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