The sum of exterior angles of a regular polygon is equal to one fifth the sum of interior angles.
Find the number of sides of the polygon.
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As the measure of the exterior angles of a regular polygon are 15 times the measure of its interior angles, each exterior angle of the regular polygon too will be 15 times the measure of its interior angle. we have 360∘30∘=12 exterior or interior angles i.e. Polygon has 12 sides - it is dodecagon
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