Question 96

If the sum of the measures of all the interior angles of polygon is 2340°. What is the number of sides of the polygon?

Solution

Let number of sides of the polygon = $$n$$

Sum of all interior angles of a polygon having $$n$$ sides = $$(n - 2) \times 180$$° = $$2340$$°

=> $$(n - 2) = \frac{2340}{180} = 13$$

=> $$n = 13 + 2 = 15$$

$$\therefore$$ The polygon having sum of interior angles 2340° has 15 sides

=> Ans - (B)


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