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Polygons and Interior Angles

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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 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°.

Algebra : Maths For kid

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Algebra : Maths For kid Solution 1)   4 y + 4 y + 4 y + 4 y = 4 x 4 y = 4 y+1  Similarly 3 y + 3 y + 3 y = 3 y+1 (4 y + 4 y + 4 y + 4 y )( 3 y + 3 y + 3 y )= (4 y+1 )( 3 y+1 )= 12 y+1 Solution 2)    4 a   + 4 a+1 = 5 4 a                     4 a+2 -176 = 16 (4 a ) -176                     16 (4 a ) -176 = 5 4 a                     11 4 a  = 176                     4 a  = 16                     a = 2