बहुभुज की भुजाओं की संख्या ज्ञात कीजिए जिसके सभी आंतरिक कोणों का योग 2160° है?

  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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दिया गया है:

आंतरिक कोणों का योग = 2160° 

प्रयुक्त सूत्र:

बहुभुज के आंतरिक कोणों का योग = (n - 2) × 180° 

जहाँ 'n' बहुभुज के भुजाओं की संख्या है

गणना:

∵ बहुभुज के सभी कोणों का योग = 2160° 

⇒ (n - 2) × 180° = 2160° 

⇒ n - 2 = 2160°/180° 

⇒ n - 2 = 12

⇒ n = 12 + 2

⇒ n = 14

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