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The sum of interior angles of a triangle is 180°. Show that the sum of the interior angles of polygons

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The sum of interior angles of a triangle is 180°. Show that the sum of the interior angles of polygons with 3, 4, 5, 6, … sides form an arithmetic progression. Find the sum of the interior angles for a 21 sided polygon.

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We know that, sum of interior angles of a polygon of side n is (n – 2) x 180°.

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