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Question 141
If the sum of interior angles of a regular polygon is equal to two times the sum of exterior angles of that polygon, then the number of sides of that polygon is
Solution
Let the polygon be 'n'-sided.
Sum of interior angles of a polygon=$$(n-2)180$$
Sum of exterior angles of a polygon=$$360$$
$$\because$$ Sum of interior angles of a polygon=$$2\times$$ Sum of exterior angle of a polygon
$$(n-2)180=2\times360$$
$$n=6$$
Hence, Option B is correct.
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