In a general decagon an interior angle can have any value in the range (0, 360) degrees - excluding 180 degrees. The only constraint is that the sum of all interior angles must be 1440 degrees.
A polygon with 10 sides is called decagon and the sum of the interior angles is 1440 degrees. (10-2)180=1440
Interior angles add up to 1440 degrees Each interior angle of a regular decagon measures 144 degrees
The 10 interior angles of a decagon add up to 1440 degrees
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. 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
The sum of the interior angles in a decagon = 180(10-2) = 1440° The measure of a single interior angle in a decagon = (180(10-2))/10 = 144°
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.
Each interior angle of a regular decagon is 144 degrees
Each interior angle of a regular decagon is 144 degrees
144o. Sum of exterior angles of a polygon is 360o. Each exterior angle for a regular decagon is 360o / 10 = 36o. Exterior and interior angles are supplementary, that is sum to 180o. Therefore the interior angle of a regular decagon is 180o - 36o = 144o.
The angle measure for each interior is 144 degrees each.Explanation: The angle measure of each interior angle of a regular decagon is 144°. Since a decagon is a 10-sided figure, replace n by 10 in (n − 2) • 180°. So the sum of the interior angle measures in a decagon is (10 − 2) • 180°, or 8 • 180° = 1440°. This is a regular decagon, so all ten interior angles are congruent. To calculate the measure of each interior angle in this regular decagon, divide 1440 by 10. The answer is 144°. 144 degrees is equal to 4/5 of 180 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°
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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°.
In a general decagon an interior angle can have any value in the range (0, 360) degrees - excluding 180 degrees. The only constraint is that the sum of all interior angles must be 1440 degrees.