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1440 degrees. The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.
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What is the measure of an interior angle for a regular ten-sided polygon?
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.
What is the sum of the interior angles of this decagon?
1440
What is the angle measure of each interior angle of a regular decagon?
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
What is the total interior angles of a decagon?
1440 degrees. The total exterior angles of a polygon is always 360 deg. Each interior angle plus its corresponding exterior angle is 180 deg. The sum of all interior plus all interior for a decagon must therefore be 1800 deg. Hence sum of interior angles is: 1800-360=1440 deg.
What is the sum of the measures of the exterior angles in a regular decagon?
The exterior angles of any polygon add up to 360.
What is the difference in the sum of the interior angles of a decagon compared to a triangle?
The sum of the interior angles of a decagon is 1440 degrees The sum of the interior angles of a triangle is 180 degreesThe difference in the sum of the interior angles of a decagon compared to a triangle = 1440 degrees minus 180 degrees = 1260 degrees
What is the sum of each interior angle of a regular decagon?
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°.
What is the SUM of ALL of the interior angles of a decagon?
The 10 interior angles of a decagon add up to 1440 degrees
What is the measure of an interior angle for a regular ten-sided polygon?
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.
What is the sum of the interior angles of this decagon?
1440
How many sides and angles does a decagon have?
A decagon has 10 sides, and 10 angles. 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°
What is the sum of the measrures of the interior angles of a decagon?
The interior angles of a 10 sided decagon add up to 1440 degrees.
What is the size of each interior angle of a regular decagon?
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°
What is the sum of the interior angles of a decagon?
The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees. In this instance, the sum of the interior angles of a decagon is equal to 180 x (10 - 2) = 1440 degrees.(10-2)*180 = 8*180 = 1440 degrees.
What is the sum of the measures of the interior angles of a decagon?
1440
What is the sum of the angles measured in a decagon?
The 10 interior angles of a decagon add up to 1440 degrees
What is the answer to the interior angles in a decagon?
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°
