Find the number of sides of a polygon whose sum of all interior angle is 2160°?

  1. 15
  2. 14
  3. 12
  4. 13

Answer (Detailed Solution Below)

Option 2 : 14
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Detailed Solution

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Given:

Sum of all interior angles = 2160° 

Formula used:

Sum of interior angles of polygon = (n - 2) × 180° 

Where 'n' is the number of sides of the polygon.

Calculation:

∵ The sum of all the angles of the polygon = 2160° 

⇒ (n - 2) × 180° = 2160° 

⇒ n - 2 = 2160°/180° 

⇒ n - 2 = 12

⇒ n = 12 + 2

⇒ n = 14

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