Question

The number of sides in two regular polygons are in the ratio of 5 : 4. The difference between their interior angles of the polygon is 6. Then the number of sides are15,125,410,820,16

Answer 1

Answer:

Step-by-step explanation:

let the no of side are 5x and 4x

then diff in int angles=

=(2*5x-4)*90/5x-(2*4x-4)*90/4x=6

(10x-4)*18/x-(8x-4)45/2x=6

(10x-4)*18*2-(8x-4)*45=6*2x

360x-144-360x+180=12x

12x=36,x=3

so sides are 15 and 12