# How many sides does a regular polygon have if its each angle is of measure 108o?

(a) 6

(b) 7

(c) 8

(d) 5

**Answer: (d) 5**

**Solution:-**

Each angle of a polygon = 108 degree

Let the the side of a polygon be n.

**Formula-**

**Each angle of a polygon = (n – 2) 180/n**

Then, (n – 2) 180/n = 108

180 n – 360 = 108 n

180 n – 108 n = 360

72 n = 360

n = 360/72

n = 5

Then, the number of side of the polygon is 5.

Hence, the correct answer is option is (d) 5.