একটি ΔABC-তে, ∠B ও ∠C-এর অন্তর্দ্বিখন্ডক O বিন্দুতে মিলিত হয়। ∠BAC = 72° হলে ∠BOC-এর মান কত?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 2)
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  1. 110° 
  2. 126°
  3. 136° 
  4. 146° 

Answer (Detailed Solution Below)

Option 2 : 126°
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Detailed Solution

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গণনা: 

F1 Other Arbaz 30-10-23 D13

∠BAC = 72° 

কোণ সমষ্টি বৈশিষ্ট্য অনুযায়ী 

⇒ ∠A + ∠B + ∠C = 180
 
⇒ ∠B + ∠C = 180 − 72 = 108
 
⇒ ∠OBC + ∠OCB = 54
 
কোণ সমদ্বিখন্ডকগুলি O বিন্দুতে মিলিত হয়
 
কোণ সমষ্টি বৈশিষ্ট্য অনুসারে,
 
⇒ ∠OBC + ∠OCB + ∠BOC = 180
 
⇒ 54 + ∠BOC = 180
 
⇒ ∠BOC = 126
 
∴ সঠিক উত্তর 126°
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