15 भुजाओं वाले सम बहुभुज के प्रत्येक अंतः कोण का माप ज्ञात कीजिए।

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  1. 106° 
  2. 156°
  3. 206°
  4. 256°

Answer (Detailed Solution Below)

Option 2 : 156°
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दिया गया है:

15 भुजाओं वाला सम बहुभुज

प्रयुक्त सूत्र:

n भुजाओं वाले बहुभुज के आंतरिक कोणों का योग

= (n - 2) × 180°, जहाँ n बहुभुज के भुजाओं की संख्या है।

गणना:

15 भुजाओं वाले बहुभुज के आंतरिक कोणों का योग

= (15 - 2) × 180° = 2340°

∴ सम बहुभुज का प्रत्येक आंतरिक कोण = 2340/15 = 156°

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