Question

The sum of the interior angles of a regular polygon is three times the sum of its exterior angles. Number of sides of the polygon is equal to :

• A. 5
• B. 6
• C. 7
• D. 8

Answer 1

Answer:

D. 8

Solution: Given: (The sum of the interior angles of a regular polygon) = 3 × (The sum of its exterior angles) Formula Used: The sum of all interior angles = (n - 2)× 180° Concept: The sum of all exterior angles is 360°. Calculation: According to the question: (n - 2)× 180° = 3 × 360° ⇒ (n - 2) = 6 ⇒ n = 8 ∴ The regular polygon has 8 sides. The correct option is 4 i.e. 8