Question

The number of sides of a regular polygon whose each interior angle is of ${135}^{\circ }$ is...............

Answer 1

Let $n$ be the number of sides.

$⟹\frac{(2n-4)\times 90°}{n}=135°⟹180°n-360°=135°n⟹45°n=360°\therefore n=\frac{360°}{45°}=8$