Question

If each interior angle of a regualr polygon is 11times its extreior angle,the no.Of sides of polygon is

Answer 1

Answer:

No of side of polygon =24

Step-by-step explanation:

Let ext angle=x

then int angle=11x

int angle+ext angle=180

11x+x=180

12x=180

x=180/12=15

Hence interior angle=11x=11*15=165

Let the No of sides=n

each angle=1/n(2n-4)*90=165

180n-360=165n

180n-165n=360

15n=360

n=360/15

n=24

Hence the no of side of polygon =24