To find the interior angle of any polygon.
Exterior Angle = 360 / n ( the number of sides)
Interior angle = 180 - exterior angle.
So for a decagon ( 10 sides)
Ext angle = 360 / 10 = 36
Int angle = 180 - 36 = 144.
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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
144
Each interior angle measures 144 degrees
Each interior angle of a regular decagon would measure 144 degrees,
Any polygon can have an interior angle of 144 degrees. The measurement of an interior angle of a decagon is 144 degrees.