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In a polygon, the sum of the interior angles is triple the sum of the exterior angles. The number of sides is:
Question

In a polygon, the sum of the interior angles is triple the sum of the exterior angles. The number of sides is:

A.

8

B.

7

C.

6

D.

9

Correct option is A

Given:
Sum of interior angles = 3 * (Sum of exterior angles)
Formula Used:
Sum of exterior angles of any polygon = 360°
Sum of interior angles of a polygon with n sides = (n - 2) * 180°
Solution:
Let n be the number of sides of the polygon.
(n - 2) * 180 = 1080
n - 2 = 6
n = 8
Hence, the polygon has 8 sides.

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