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 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.
5 sides and it is a regular pentagon
The sum of the measures of the exterior angles of any polygon, regular or irregular, is always 360 degrees. In a regular polygon with ten sides, each exterior angle measures 360 degrees divided by the number of sides, which in this case is 36 degrees. Therefore, the sum of the measures of the exterior angles of a regular decagon is 10 multiplied by 36 degrees, which equals 360 degrees.
15 equal sides
60 sides
A regular polygon will have 360 sides with exterior angles of 181 degrees.
6
Oh, dude, a regular polygon? That's like a shape where all the sides and angles are the same. So, if you want the interior angles to be 165.6 degrees, you can calculate it by dividing 360 (the total degrees in a circle) by the number of sides in the polygon. If you do the math and find a whole number of sides that gives you 165.6 degrees, then sure, you can have a regular polygon with interior angles of 165.6.
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.