Question

plz solve this question fast

Answer 1

Interior angle of polygon =(n-2)180/n

(n-2)180/n=135

180n-360=135n

45n=360

N=8

Answer 2

Answer-

The polygon has 8 sides.

Solution-

The measure of each interior angle of a regular n-gon is,

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

Given in the question, measure of each interior angle is 135°

So,

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

$\Rightarrow (n-2)180=135n$

$\Rightarrow 180n-360=135n$

$\Rightarrow 180n-135n=360$

$\Rightarrow 45n=360$

$\Rightarrow n=8$

Therefore, the given figure is an octagon and it has 8 equal sides.