Find the sum of the angle measures of a decagon


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What is the sum of the interior angle measures of a regular decagon? ° What is the measure of each interior angle of a regular decagon? °

Answered by admin @



A decagon has 10 sides.


Find the sum of angles in a decagon:

Sum of interior angles of a polygon is ( n - 2 ) x 180 where n is the number of sides.

Sum of interior angles = (10 - 2) x 180

Sum of interior angles = 1440º


Find the measure of each angle:

10 angles = 1440

1 angle = 1440 ÷ 10 = 144º


Answer: (a) 1440º (b) 144º


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