The sum of the interior angles of a regular polygon is thrice the sum of it's exterior angles . Find the number of sides of the polygon
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Sum of Interior Angles of a regular polygon
= ( n - 2 )* 180°[ where n is number of sides ]
Sum of exterior Angles of a regular polygon
= 360°
According to the question,
= ( n-2)*180°= 360° *3
= 180n - 360 = 1080
= 180n = 1080+ 360
= n = 1440 /180
= n = 8.
Hence, The Number of Sides are 8.
Hence, The
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