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Find the number of sides of a polygon whose sum of all interior angle is 2160°?
  • a)
    15
  • b)
    14
  • c)
    12
  • d)
    13
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the number of sides of a polygon whose sum of all interior angle ...
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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Most Upvoted Answer
Find the number of sides of a polygon whose sum of all interior angle ...
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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Find the number of sides of a polygon whose sum of all interior angle is 2160°?a)15b)14c)12d)13Correct answer is option 'B'. Can you explain this answer?
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