Question

determine the number of sides of polygon whose exterior and interior angles are in the ratio 1:5​

Answer 1

Answer:

12

Step-by-step explanation:

sum of interior angles of a polygon=180(n-2)

interior angle=180(n-2)/n

sum of exterior angles of polygon=360 degree

exterior angle=360/n

exterior angle/interior angle=1/5

(360/n)/(180(n-2)/n)=1/5

cancelling both 'n's at the denominators

and by cancelling 360 and 180 we get

2/n-2=1/5

10=n-2   (by interchanging)

n=12

hope this helped u!!!✌