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: $7$ right$-$angles

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Answer

Let no. of sides $=n$
Sum of angles $=7$ right angles $=7 \times 90=630^{\circ}$
$(n-2) \times 180^{\circ}$
$ n-2=\frac{630}{180}$
$n-2=\frac{7}{2}$
$ n=\frac{7}{2}+2$
$n=\frac{11}{2}$
Which is not a whole number. Hence it is not possible to have a polygon, the sum of whose interior angles is $7$ right$-$angles.

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