The internal angle of any polygon with n sides is equal to (n - 2) x 180 / n degrees. For example, each internal angle of a square is equal to (4 - 2) x 180 = 360/4 = 90 degrees.
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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°
Each interior angle of a regular decagon is 144 degrees
Each interior angle of a regular 10 sided decagon measures 144 degrees
Each of the INTERIOR angles are 36 degrees - therefore each exterior angle is 360 degrees minus 36 which is 324.
Each interior angle of a regular 10 sided decagon measures 144 degrees