In a convex n-sided irregular polygon,the largest interior angle is 160 and the smallest interior angle is 130 .Find the greatest and least possible value of n

Question

answer is 14 and 6 but dont know how

Answer 1

(n - 2)180/n ≤ 160

(n - 2)180 ≤ 160n

180n - 360 ≤ 160n

20n ≤ 360

n ≤ 18

 

Do the same for the minimal angle size.