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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
Each interior angle of a regular decagon would measure 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.
A regular decagon, or 10-sided polygon, has interior angles of 144
The measure of the entire interior of a regular decagon is 1440 degrees. 1440 divided by 10 equals 135 degrees. Therefore, 135 degrees is your final answer.