Question

find the number of sides of regular polygon if each of its interior angle
$\binom{3\pi}{4} radin$
​

Answer 1

Answer:

8

Step-by-step explanation:

2π radian= 360

Therefore π radian=180⁰

and 3π/4 radian= 135⁰

let n be the number of sides of the polygon therefore,

interior angle= {180(n-2)}n

135={180(n-2)}n

on solving this n=8 (it is a octagon)