Question 22

If the sum of the interior angles of a regular polygon is $$720^\circ$$ then how many sides does it have?

Solution

Sum of all interior angles of a polygon with $$'n'$$ sides = $$(n-2)\times180^\circ$$

Let the number of sides be $$n$$

=> Sum of interior angles = $$(n-2)\times180^\circ=720^\circ$$

= $$(n-2)=\frac{720^\circ}{180^\circ}=4$$

=> $$n=4+2=6$$

=> Ans - (C)

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