Question

the sum of interior Angles of a regular polygon is thrice the sum of its exterior angles. find the no.of sides in the polygon.​

Answer 1

Answer:

Since the sum of the interior angles is thrice the sum of the exterior angles, the sum of the interior angles is equal to 360*3= 1080. Since the sum of interior angles of a polygon = (n-2)*180 where n is the number of sides, (n-2)*180=1080, n = 8, therefore the polygon is an octagon.

Answer 2

Answer:

The sum of interior angles of a regular polygon is thrice the sum of its exterior angles. Find the number of sides in the polygon.