What is the formula for finding the sum of all exterior angles?

1 Answer
sankarankalyanam
Jul 17, 2018

#color(indigo)("Sum of all exterior angles of a polygon " n * theta = 2 pi^c = 360^@#

Explanation:

  1. The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.

  2. The measure of each interior angle of an equi-angular n-gon is.

  3. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

![https://math.tutorvista.com/statistics/http://exterior-angle-property.html](https://useruploads.socratic.org/lP3VBFPLScS4Sym7x17w_exterior%20angle.png)

#color(indigo)("Sum of all exterior angles of a polygon " n * theta = 2 pi^c = 360^@#

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