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Maths Exercices

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

Quadrilateral
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


Find the sum of the measures of the interior angles of a 12-gon.