Since a regular polygon is a series of straight lines of equal length that eventually join up with the start of the first line, this means that the sum of the angles between each line must sum to 360 degrees. If there are 6 sides in the polygon then the angle between each line is 360 degrees divided by 6 sides = 60 degrees.
This kind of regular polygon with 6 sides of equal length has a special name, it is called a hexagon.
A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides
The interior angles of a regular polygon must be 60 degrees or greater.
The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.
15 equal sides
A regular polygon will have 360 sides with exterior angles of 181 degrees.
A regular polygon with exterior angles of 30 degrees has: 360/30 = 12 sides
That's true if the interior angles are 108 degrees, but a regular polygon cannot have exterior angles of 108 degrees.
The interior angles of a regular polygon cannot be less than 60 degrees so 24 degrees is not possible. ------------------------------- However a regular polygon with EXTERIOR angles of 24° has 360° ÷ 24° = 15 sides.
The interior angles of a regular polygon must be 60 degrees or greater.
5 sides and it is a regular pentagon
15 equal sides
60 sides
A regular polygon will have 360 sides with exterior angles of 181 degrees.
6
No matter how many sides it has, the exterior angles of a regular polygon add up to 360 degrees. So 360/17.14 = 21 sides.
The interior angles of a polygon (regular or not) with n sides sum to (n - 2)*180 degrees.
Not possible in this Universe. Smallest regular polygon is a triangle when interior angles are 60o. If exterior angles are 30o the polygon has 360/30 ie 12 sides.