O, PQR ত্রিভুজের অন্তঃকেন্দ্র। যদি কোণ POR = 140 ডিগ্রি হয়, তাহলে কোণ PQR কত?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 4)
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  1. 40 ডিগ্রি
  2. 140 ডিগ্রি
  3. 100 ডিগ্রি
  4. 70 ডিগ্রি

Answer (Detailed Solution Below)

Option 3 : 100 ডিগ্রি
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Detailed Solution

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প্রদত্ত:

POR = 140 ডিগ্রি

ব্যবহৃত ধারণা:

একটি ত্রিভুজের অন্তর্কেন্দ্র ত্রিভুজের সকল বাহুর দিকে সমানভাবে আনত থাকে।

অন্তঃকেন্দ্রে কোণ = 90° + শীর্ষ কোণ/2

গণনা:

F5 Vinanti SSC 20.03.23 D1 V2

ধারণা অনুযায়ী,

90° + ∠PQR/2 = 140°

∠PQR/2 = 140° - 90°

⇒ ∠PQR/2 = 50°

⇒ ∠PQR = 100°

কোণ PQR 100°

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