Polygons and Interior Angles

Polygons and Interior Angles

The sum of the interior angles of a polygon follows a specific pattern that depends on n, the number of sides that the polygon has.This sum is always 180° times 2 less than n (the number of sides).
i.e (n - 2) x 180 = Sum of Interior Angles of a Polygon

polygon_interior_angle

Quadrilateral has four sides, the sum of its interior angles is (4 - 2)180 = 2(180) = 360°.
Alternatively, note that a quadrilateral can be cut into two triangles by a lineconnecting opposite corners.Thus, the sum of the interior angles of Quadrilateral = 2(180) = 360°.

Hexagon has six sides, the sum of its interior angles is (6 - 2)180 = 4(180) = 720°.Alternatively, note that a hexagon can be cut into four triangles by three lines connecting corners.Thus,the sum of the interior angles of Hexagon = 4(180) = 720°.


polygon_interior_angle

Comments

  1. Unknown22 July 2017 at 07:49

    Very Nice Blog on Maths specially for Kids . Keep doing good work

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