If the sum of the interior angles of a polygon is equal to the sum of the exterior angles then find the number of sides of the polygon.
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As we know the sum of interior angles of a regular polygon =(n−2)×180∘, where n is the number of sides. Now it is given that the sum of interior angles of a polygon is three times the sum of exterior angles. Therefore sum of interior angles of a regular polygon = 3× sum of exterior angles.
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As we know the sum of interior angles of a regular polygon =(n−2)×180∘, where n is the number of sides. Now it is given that the sum of interior angles of a polygon is three times the sum of exterior angles. Therefore sum of interior angles of a regular polygon = 3× sum of exterior angles
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