Basically when you have a 24 sided polygon you can split it up into 22 separate, non-overlapping triangles by drawing diagonals. Each triangle has 180 degrees, so the product, 22 times 180, gives you the sum of the interior angles of the 24 sided polygon.
A triangle has 180 degrees, a rectangle has 360, a pentagon 540 etc. So the # of degrees = (number of sides - 2) * 180. So 3600 = 180 ( N - 2) means 20 = N - 2 so N = 22. A 22-sided polygon will have 3600 degrees.
Interior angles: (22-2)*180 = 3600 degrees Each interior angle: 3600/22 = 163.63 degrees recurring decimal of 0.63 Or as: 163 degrees, 38 minutes and 10.91 seconds
If you look at the polygons we see from day to day, you can see that the sum of their interior angles follows a pattern:number of sides: sum of angles3: 1804: 3605: 5406: 720..In other words, its 180(n - 2), where n is the number of sides on the polygon.So to work out how many sides that polygon has, you can say:1980 = 180(n - 2)∴ n - 2 = 1980/180∴ n = 22 - 2∴ n = 20So this polygon is a twenty-sided one, or an "icosagon".
There are 20 triangles inside a 22 sided polygon
It is: (22-2)*180 = 3600 degrees
163.64 degrees
Exterior angles: 360 degrees Interior angles: 3,600 degrees
44
3600
3600/22=163.63
3600
(22-2)*180=3600
The sum of the exterior angles of any polygon and the extension of its adjacent side is 360 degrees.If the 20 sided polygon is regular, then each angle is equal so that each one is 360/20 = 18 degrees.
3600 degrees
The name of a 22 sided polygon is Icosidigon.
The formula is: (n-2)*180 = sum of interior angles whereas 'n' is the number of sides of the polygon.