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The interior angles of a decagon sum to 8*180 = 1440 degrees.
If it's a regular 10 sided decagon then each interior angle is 144 degrees which gives it a total sum of 1440 degrees
Sum of the interior angles of a decagon = 180*(10-2) = 180*8 = 1440 degrees. Since each interior angle of a regular polygon has the same measure, each angle of the decagon = 1440/10 = 144 degrees.
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°
The sum of the exterior angles in any polygon is 360 degrees.Therefore that polygon is a decagon.