The number of sides in two regular polygons are in the ratio 5 : 4 and the difference between each interior angle of the polygons is 6°. Then the number of sides are

Solution (By Examveda Team)

Let the no. of sides of the 1st polygon be 5x and that of the 2nd one be 4x. Then the sum of internal angles of the 1st polygon is (5x - 2)*180 degrees and that of the 2nd is (4x-2)*180.

Since they're regular polygons all internal angles are same.

So internal angles of the 1st polygon are ((5x-2)*180)/5x degrees

And that of the 2nd is,

((4x-2)*180)/4x degrees.

Now according to question,

(((5x-2)*180)/5x) - (((4x - 2)*180)/4x) = 6

On solving we get

x =3.

So no of sides of the polygons are 15 and 12.