# If each interior angle of a rectangular polygon is 140º

If each interior angle of a rectangular polygon is 140º, then the number of vertices of the polygon is equal to

(a) 10

(b) 9

(c) 8

(d) 7

**Answer: (b) 9 **

**Solution:-**

If each interior angle of a rectangular polygon is 140 degree

**Formula:-**

Each interior angle = 180 (n – 2)/n

Where, n = number of sides.

Then, 140 = 180 (n – 2)/n

7 = 9(n- 2)/n

7 = (9 n – 18)/n

By cross multiplication,

7 n = 9 n – 18

9 n – 7 n = 18

2 n = 18

n = 18/2

n = 9

Then, the number of vertices is 9.

Hence, the correct answer is option (b) 9.