The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
1440 degrees
Chat with our AI personalities
If it's a regular 10 sided decagon then each interior angle is 144 degrees which gives it a total sum of 1440 degrees
The interior angles of a decagon sum to 8*180 = 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 interior angles of any N-sided polygon is: N*180° - 360°. For N = 10, this gives 1440°. Since the decagon is regular, all angles are equal, and each angle is 144°.