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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

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Q: What is the angle measure of each interior angle of a regular decagon?

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144

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.

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144

144˚

well the total degrees in a decagon is 1440 therefore each interior angle in a regular decagon would measure 144 degrese

144˚

Each interior angle measures 144 degrees

Each interior angle of a regular decagon would measure 144 degrees,

Each interior angle of a regular decagon is 144 degrees

Each interior angle of a regular decagon is 144 degrees

As a decagon has 10 sides, the measure of the exterior angle for a regular decagon is 360/10 = 36°

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.

If it's a regular 10 sided decagon then each interior angle is 144 degrees which gives it a total sum of 1440 degrees

Each interior angle measures 144 degrees

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