Question

How many sides does a polygon have if the sum of the interior angles is 7 straight angles

Answer 1

We know that a straight angle is of ${180}^0$.

Now, since sum of the interior angles is $7$ straight angles, therefore, $(2n–4){90}^0=7\times {180}^0$

$2n–4=\frac{1260}{90}\Rightarrow 2n–4=14\Rightarrow 2n=14+4\Rightarrow 2n=18\Rightarrow n=\frac{18}{2}=9$

Hence, the polygon has $9$ sides.