Sum Of Interior Angles And Exterior Angles Of A Polygon. Determine that the interior angle of a polygon and an exterior angle of a polygon form a linear pair ie the 2 angles are supplementary Determine that if one exterior angle is drawn at each vertex of a convex polygon then the sum of the measures of those exterior angles is 360. For a polygon with n sides we know that the sum of all the interior and exterior angles is 180 n.
You can move the points in the polygons but be sure to keep the polygon convex. The number of exterior angles always equals the number of sides. In any polygon the sum of an interior angle and its corresponding exterior angle is.
An irregular polygon can have sides of any length and angles of any measure.
S n 2 180 This is the angle sum of interior angles of a polygon. Triangles There are 3 sides and a sum of 180 degrees. Exterior angles of a regular polygon are equal in measure. The angle between two adjacent sides inside the polygon is known as the Interior angle.