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Q: How many degrees are in a 16 sided figure?

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A 16 sided polygon has 104 diagonals

A 16-sided figure is called a hexadecagon. Another name for this polygon is a hexakaidecagon.This polygon also has 16 vertices.

Exterior angles add up to 360 degrees Interior angles up to 2520 degrees

hexadecagon

A 16-sided figure is known as a hexakaidecagon, 16(sixteen)-gon, or hexadecagon.

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

0.5*(162-48) = 104 diagonals

A 16-sided figure is known as a hexakaidecagon, 16(sixteen)-gon, or hexadecagon.

A plane figure with 16 sides is a 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.

2520 degrees

(16-2)*180 = 2520 degrees

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