Question 140

If the sum of all interior angle of a regular polygon is 14 right angles, then its number of sides is

Solution

Given, sum of interior angles of a polygon = $$14$$ x $$90 = 1260$$

We know that, sum of interior angles of a polygon = $$(n-2)$$ x $$180^{\circ}$$

$$1260 = (n-2)$$ x $$180^{\circ}$$

$$n - 2 = 7\ (or)\ n = 9$$

Hence, option B is the correct answer.

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