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The interior angle of a 10 sided decagon add up to 1440 degrees

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jerlynlabarico52

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2y ago
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9y ago

The interior angles of a 10 sided decagon add up to 1440 degrees

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Eric Liu

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2y ago

180(10-2)=180(8)=1440 degrees

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Q: What is the interior angle sum of the decagon?
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Measure of interior angle of decagon?

If it's a regular 10 sided decagon then each interior angle is 144 degrees which gives it a total sum of 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°


What is the angle sum of a degagon?

The interior angles of a decagon sum to 8*180 = 1440 degrees.


Each interior angle of a regular decagon?

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.


What is the interior of angle of a decagon?

Each interior angle of a regular decagon is 144 degrees


What is the of an interior angle of a decagon?

Each interior angle of a regular decagon is 144 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 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 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 measure of each interior angle of a decagon?

144˚


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 size of 1 interior angle in a decagon?

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.