एक षट्कोण के पाँच कोणों में से प्रत्येक की माप 116° है, तो शेष कोण की माप कितनी है?

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RRB ALP CBT I 31 Aug 2018 Shift 2 Official Paper
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  1. 140°
  2. 126°
  3. 116°
  4. 152°

Answer (Detailed Solution Below)

Option 1 : 140°
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दिया गया है:

एक षट्कोण के पाँच कोणों में से प्रत्येक की माप 116° है।

प्रयुक्त सूत्र:

किसी सम बहुभुज के सभी कोणों का योग = (n - 2)× 180

गणना:

एक षट्भुज (n = 6) में आंतरिक कोणों का योग

⇒ (6 - 2)× 180

⇒ 720o

प्रश्नानुसार,

पाँच कोणों की मापों का योग 116° × 5 = 580° हैं।

शेष कोण = 720° - 580°

⇒ 140° 

∴ शेष कोण की माप 140o है।

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