Question

The sum of the interior angles of a polygon is 1620. The number of sides of the polygon must be

• A. 9
• B. 11
• C. 15
• D. 12

Answer 1

Answer: (B)

11

Answer 2

Assume the number of sides of the polygon be $n$

The Sum of interior angles of any polygon = $(n - 2) ×180 = 1620$

= $n - 2 = \frac{1620}{180}$

= $n - 2 = 9$

= $n = 11$

So, The number of sides of the polygon is 11

The correct option is (B): 11