find the number of sides of regular polygon each of whose exterior angle is 45°​

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1. Answer:

   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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