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Interior angles of polygons

An interior angle is an angle that lies inside a polygon. You can use the sum of the angle measures of a triangle to find the sum of the interior angle measures of various polygons.

Number of sides Sketch of figure Number of triangles Sum of Angle Measures
3 Triangle

1
1(180º)=180º
4 2
2(180º)=360º
5 Pentagon
3
3(180º)=540º
6 Hexagon
4
4(180º)=720º

INTERIOR ANGLE SUM OF A POLYGON

The sum of the measures of the interior angles of a polygon is (n-2)180, where n represents the number of sides.

S=(n-2)180

What is the sum of the interior angle measures of this polygon? º