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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.
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What is the sum of the interior angles of this decagon?
1440
What is the sum of the interior angles of a regular decagon?
1440 degrees. The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) 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 polygon has an angle sum of 1440?
A 10 sided polygon or a decagon has interior angles that add up to 1440 degrees
