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A decagon is a polygon with 10 sides. By using the interior and exterior postulates, you can find the angle measures, which happen to be 144 and 36 degrees respectively.
A ten-sided polygon. The sum of the angles of a decagon is 1440°. so 1440°÷10=144° ---------------------------------------------------------------------------- The easiest way to calculate this is to calculate the exterior angle and use the fact that the exterior and interior angles are supplementary. Sum exterior angles = 360° → Each exterior angle of a regular decagon is 360° ÷ 10 → Each interior angle of a regular decagon = 180° - 360° ÷ 10 = 144°
It is a decagon (10 sides) because if the interior angle is 144° then the exterior is 36°. 360 Divided by 36 is 10 and so it is a decagon.
Each interior angle of a regular decagon is 144 degrees
Each of the INTERIOR angles are 36 degrees - therefore each exterior angle is 360 degrees minus 36 which is 324.