The number of sides of a regular polygon whose exterior and interior angles are in the ratio 1 : 5 is
Let the number of sides of polygon = n
Each exterior angle =x∘
Each interior angle =5x∘
Sum of one interior angle and the corresponding exterior angle is 180∘
Sum of all exterior angles =(360)∘
If the polygon is regular, then each exterior angle measures 360∘n.
Hence, n = 12.