Question

find the number of side of a regular polygon whos ech interior angle is of 135​

Answer 1

Step-by-step explanation:

Formula for sum S of n interior angles of n sided polygon is

S=(n−2)× 180˚

Since polygon is regular all its interior angles is same, sum of them is 135 degree times n

So we have S= 135n

As per formula,

S=(n−2)×

180= 135n

180(n−2)=135n

180n−360=135n

45n=360

n= 45/360 =8

Number of sides is 8