Question

Each interior angle of a polygon is 135°. How many sides does it have?

Answer 1

Answer:

Step-by-step explanation:

eight

It is a octagon ( eight sides ). so, 1080/ 8 = 135° .

Answer 2

Answer:

8 sides

Step-by-step explanation:

Let number of sides of the polygon be n

Since, each interior angle of a polygon=(n-2)X 180 degree /n

=>135 degree =(n-2)X 180 degree /n

=>135/180=(n-2)/n

=>3/4=(n-2)/n

By cross multiplication,

=>3n=4(n-2)

=>3n=4n-8

=>3n-4n=-8

=>-n=-8

Minus are cancel, therefore,

Sides of polygon=8