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Why do you subtract 2 when calculating the interior degrees of a 24 sided polygon?
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.
Find the number of sides a polygon has if the sum of its angle measures is 3600 degrees?
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.
What is the measure of an interior angle of an 22 sided regular 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
The number of sides of a polygon whose interior angle sum is 1980?
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".
What is a shape with 20 triangles?
There are 20 triangles inside a 22 sided polygon
