Question 22

If the sum of the interior angles of a regular polygon is $$540^\circ$$ then how many sides does it have?

Solution

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

Sum of interior angles of a regular polygon = $$(n-2)\times180^\circ$$

=> $$(n-2)\times180^\circ=540^\circ$$

=> $$n-2=\frac{540}{180}=3$$

=> $$n=3+2=5$$

=> Ans - (C)

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