This question has been asked before, but I have doubts regarding the answer given and being accepted over there : (Link :- Convex n-sided polygons whose exterior angles expressed in degrees are in arithmetic progression)
Question:- If the exterior angles of a convex n-sided polygon, are all integers, expressed in degrees, are in arithmetic progression, how many values are possible for n?
My approach:-
360 has 24 factors , since no. of sides of a polygon >=3, therefore values of n possible will be 24-2 =22, The answer being accepted over there counters this argument by taking n=3, and providing various cases for exterior angles to be in AP {(120,120,120),(119,120,121) . . .} , but that is not a point to be taken at all, as we are only focused on the value of n and not on how many exterior angles are possible for a particular value of n.
Please let me know what is wrong in my approach ?