Question

Find the number of sides of a regular polygon whose each interior angle is of 135?

Answer 1

$\textbf{Answer}$


Lets suppose that there are n number of sides in a regular polygon whose interior angle is 135°


We know that,

$\textbf{Exterior angle = 180° - Interior angle}$

=> Exterior angle = 180° - 135°

=> Exterior angle = 45°


We know that in a regular polygon,

$\textbf{Sum of all exterior angles is 360°}$

=> Total number of exterior angles = 360°/45°

=> Total number of exterior angles = 8

=>$\textbf{Total number of sides = 8}$


So there are 8 sides in a regular polygon whose interior angles is 135°


$\textbf{Hope It Helps}$

$\textbf{Thanks}$