Is it possible to have a polygon, whose sum of interior angle is … - Vidyadip

Question

Is it possible to have a polygon, whose sum of interior angle is : $2340^\circ$

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Answer

Let no. of sides $=n$
Sum of angles $=2340^{\circ}$
$(n-2) \times 180^{\circ}=2340^{\circ}$
$n-2=\frac{2340}{180}$
$n-2=13$
$n=13+2=15$
Which is a whole number.
Hence it is possible to have a polygon, the sum of whose interior angles is $2340^{\circ}$.

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