Question 22

If the measure of the interior angle of a regular polygon is $$108^\circ$$ then how many sides does it have?

Solution

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

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

=> $$(n-2)\times180=108n$$

=> $$180n-360=108n$$

=> $$180n-108n=72n=360$$

=> $$n=\frac{360}{72}=5$$

=> Ans - (D)

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