How Do U Find The Interior Angle Of A Polygon

If we know the sum of all the interior angles of a regular polygon we can obtain the interior angle by dividing the sum by the number of sides.

How do u find the interior angle of a polygon. The measure of each interior angle of a regular polygon is equal to the sum of interior angles of a regular polygon divided by the number of sides. One way to find the sum of the interior angles of a polygon is to divide the polygon into triangles. Choose one vertex or corner of the polygon and draw straight lines joining this vertex to all.

For each vertex of a polygon. Interior angle sum of the interior angles of a polygon n. Sum of interior angles n 2 180 each angle of a regular polygon n 2 180 n.

This geometry video tutorial focuses on polygons and explains how to calculate the interior angle of a polygon such as hexagons pentagons and octagons. In a polygon of n sides the sum of the interior angles is equal to 2n 4 90. Polygons interior angles theorem.

Where n is the number of polygon sides. Below is the proof for the polygon interior angle sum theorem. Angle q is an interior angle of quadrilateral quad.

The interior and exterior angles together lie on a straight line. An interior angle of a polygon is an angle inside the polygon at one of its vertices.