Question

each interior angle of a polygon is 108 find the number of sides of polygon

Answer 1

If it is a regular polygon, then

each interior angle = (n-2) * 180/n

$\frac{(n-2)*180}{n}$ = 108

(n-2)*180 = 108*n

(n-2)*5 = 3*n

5n-10 = 3n

2n = 10

n=5

Since angle is 108 degrees, number of sides will be 5.

Regards,

KKKoppu

Answer 2

Answer:

interior angle = 108°

exterior angle =  180° - 108°

                        = 72°

sum of all exterior angles of the polygon = 360

total no. of sides  = n

sol:  

360/72 = n

         5 = n

total no. of sides = 5

         answer = 5