Sum Of The Interior Angles Of A Decagon
10 exterior angles of 36 36 summing to 360 360 10 interior angles of 144 144 summing to 1 440 1 440.
Sum of the interior angles of a decagon. For a regular decagon all the interior angles are equal. 36 interior angle 180 interior angle 144 sum of decagon interior angle 10 144 1440. The sum of the interior angles of a decagon is 10 2 180 1440 in a regular decagon all the angles are congruent at 1440 10 144.
Regular decagons have two additional identifying properties. In many decagons the sum of interior angles will be 1 440 1 440 but that is not an identifying property because complex decagons will not have that sum. A decagon has 10 sides and 10 angles.
Sum of interior angles of a three sided polygon can be calculated using the formula as. Since 1440 10 144 each interior angle in a regular decagon has a measure of 144. The sum of the interior angles of a decagon is 10 2 180 1440 in a regular decagon all the angles are congruent at 1440 10 144.
A decagon has 10 sides and 10 angles. Since the sum of the angles of a triangle is 180 the sum of the interior angles of a dodecagon is 8 180 1440. Sum of interior angles p 2 180 60 40 x 83 3 2 180.
So the sum of the interior angles of a decagon is 1440 degrees. The formula for the sum of the interior angles depends on 2 less than the number of sides. Hence the measure of each interior angle of regular decagon sum of interior angles number of sides interior angle 1440 10 144.