Find the number of diagonals of a regular polygon, sum of whose interior angles is 2700°.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 119
The sum of the interior angles of a regular polygon is 2700°
Formula used
(n - 2) × 180° = 2700°
n - 2 = 270/18 = 15
Sides of a regular polygon (n) = 17
The number of diagonals of a regular polygon = n (n - 3)/2 = 17 × (17 - 3)/2 = 17 × 7 = 119