Question

If each interior angle of a regular polygon is 135º. Then number of sides are​

Answer 1

Step-by-step explanation:

let the no of sides be n

formula for each int angle is {(2n-4)90}/n

therefore

{(2n-4)90}/n= 135

= 180n - 360 = 135n

=180n - 135n = 360

=45n = 360

= n= 360/45

= n=8

thus an eight sided figure called octagon has each angle as 135°

Answer 2

Ans : 8

$\frac{180 \times (n - 2)}{n}$

$135 = \frac{180 \times (n - 2)}{n}$

$135 \: n = 180n - 360$

$n = 8$