Is it possible to have a regular polygon whose each exterior angle measure 35⁰? Justify.
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The sum of the exterior angles of a regular polygon is 360 degrees. So if the exterior angles are 32 degrees then the number of sides of the regular polygon will be 360/32 = 11.25. Since a fraction of a side is not possible, there cannot be a regular polygon whose exterior angle is 32 deg.
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