প্রদত্ত চিত্রে, ∠ABC = 81° এবং ∠ACB = 9°। ∠BDC এর মান কত?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 80°
  2. 90°
  3. 70°
  4. 60°

Answer (Detailed Solution Below)

Option 2 : 90°
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প্রদত্ত:

∠ABC = 81°

∠ACB = 9°

ব্যবহৃত ধারণা:

একই চাপ দ্বারা পরিধিতে উৎপন্ন কোণ সমান হয়।

ত্রিভুজের অভ্যন্তরীণ কোণের সমষ্টি 180°।

গণনা:

△ ABC-তে

⇒ ∠ABC +∠ACB + ∠BAC = 180° (কোণ সমষ্টি ধর্ম)

⇒ 81° + 9° + ∠BAC = 180°

⇒ ∠BAC = 180° - 90° = 90°

এখন,

⇒ ∠BAC = ∠BDC = 90° (একই অংশে কোণ)

∴ সঠিক উত্তর হল ∠BDC = 90 °

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