2340 degrees would be in a 16 sided polygon.
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A 16 sided polygon has 104 diagonals
Exterior angles add up to 360 degrees Interior angles up to 2520 degrees
Decagon is 10 sided figure. Internal angles of 10 sided figure is (2 x 10 - 4) right angles = 16 x 90 degrees, hence one angle is (16 x 90)/10 = 16 x 9 = 144 degrees
A 16-sided figure is known as a hexakaidecagon, 16(sixteen)-gon, or hexadecagon.
Assuming regular figure, exterior angle of n-sided polygon = 360/n degrees. In this case n = 16 so angle is 22.5 degrees and interior is 180 minus that figure ie 157.5 degrees. Alternatively you can use the formula for sum of interior angles of regular n-sided polygon which is (2n - 4) right angles. In this case 2n - 4 = 28 right angles which is 2520 degrees. Divided by 16 gives 157.5 degrees.