Question

the sum of all the interior angles of a regular polygon is thrice the sum of its exterior angles. find the polygon

Answer 1

Answer:

The given polygon is an octagon

Step-by-step explanation:

the sum of exterior angles of any polygon is 360 degrees. 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

Step-by-step explanation:

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