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The ratio between the exterior angle and the interior angle of a regular polygon is 2 : 3 . Find the number of sides....

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The ratio between the exterior angle and the interior angle of a regular polygon is 2 : 3 .
Find the number of sides of the polygon.

posted Jan 7, 2020 by Anil Chaurasiya

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1 Answer

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Exterior angle= 2x, interior angle = 3x.
Sum of them--> 2x+3x=180 deg --> x= 36 deg
So, exterior angle = 2*36= 72 deg
We know that each exterior angle of a regular polygon = 360 deg/n, (n= number of sides)
So, 360 deg/ n=72 deg --> n=5

answer Jan 9, 2020 by Hanifa Mammadov



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