If a polygon is convex, climate the sum of the procedures of the exterior angles, one at every vertex, is 360 ° . consider the sum of the procedures of the exterior angle for one n -gon.

The amount of the actions of the exterior angle is the difference in between the amount of actions of the linear pairs and also the sum of measures of the interior angles.

that is, the amount of the exterior angles n is

N = 180 n − 180 ( n − 2 )

distribution 180 .

N = 180 n − 180 n + 360             = 360


Example:

*

m ∠ 1 + m ∠ 2 + m ∠ 3 + m ∠ 4 + m ∠ 5 = 360 °


(In the case of a non-convex polygon, you might need to take into consideration some that the exterior angle as an unfavorable values.)


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