Question

If the exterior angle in a polygon is 12 degrees what is the number of sides?

Answer 1

May be `30` sides, but you need additional information.

Explanation:

You cannot find with the given information. The reason is that the only that is sure is that sum of all exterior angles of any polygon is always `360^@`.

As one angle is `12^@`, only thing you can say is that sum of remaining angles is `360^@-12^@=348^@`.

You do not know about other angles and number of sides could be any number. For example, if other angles are `1^@` each, we may have `349` sides (this means `348` angles of `1^@` and one of `12^@`) and if each off other angle is `6^@`, number of sides could be `59` (this means `58` angles of `6^@` and one of `12^@`).

However, if we have added information that the polygon is a regular polygon , this means all interior as well as exterior angles would be equal. Then number of sides then would be `(360^@)/(12^@)=30`.