Interior and Exterior Angles of a Polygon
Everything you need to know about a polygon doesn’t necessarily fall within its sides. You may need to find exterior angles as well as interior angles when working with polygons:
Interior angle: An interior angle of a polygon is an angle inside the polygon at one of its vertices. Angle Q is an interior angle of quadrilateral QUAD.
Exterior angle: An exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
Interior and exterior angle formulas:
The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.
The measure of each interior angle of an equiangular n-gon is
If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.
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