1.

The sum of the interior angles of a polygon is 2160°, find the number of sides in the polygon.

Answer»

The sum of the interior angles of a polygon = (2n – 4) x 90°

⇒ 2160° = 180°n – 360°

⇒ 2160° + 360° = 180°n

∴ n = 2520°/180° = 14

Hence, number of sides of required polygon is 14.



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