Question

Fill in the blanks:

Number of sides	Each exterior angle	Each interior angle
$8$

Answer 1

Given: $\text{Number of sides}\left(n\right)=8$
We know that , each exterior angle $=\frac{{360}^{\circ }}{n}$
$=\frac{{360}^{\circ }}{8}$
$\therefore \text{Each exterior angle}={45}^{\circ }$
We know that ,$\text{Each exterior angle}=\frac{(n-2)\times {180}^{\circ }}{n}$
$=\frac{(8-2)\times {180}^{\circ }}{8}=\frac{6\times {180}^{\circ }}{8}=\frac{{1080}^{\circ }}{8}$
$\therefore \text{Each interior angle}={135}^{\circ }$