find the number of sides of regular polygon each of whose exterior angle is 45°
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Sum of exterior angle of any polygon is 360o.
As each exterior angle is 45o, number of angles or sides of the polygon is 360o45o=8.
Further as each exterior angle is 45o, each interior angle is 180o−45o=135o.
As there are 8 interior angles each 135o
the sum of the interior angles of the polygon is 135o×8=1080o
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