Exterior angles add up to 360 degrees
Interior angles add up to 3600 degrees
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3600 degrees
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.
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
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.
There are 20 triangles inside a 22 sided polygon