यदि ΔABC ≅ ΔPQR और ∠ABC = (x + 60)°, ∠PQR = (85 - 4x)°, और ∠RPQ = (3x + 65)° है, तो डिग्री में ∠ABC का मान क्या है?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 3)
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  1. 15
  2. 5
  3. 45
  4. 65

Answer (Detailed Solution Below)

Option 4 : 65
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दिया गया है:

∠ABC = (x + 60)°

∠PQR = (85 - 4x)°

∠RPQ = (3x + 65)°

गणना:
F4 Vinanti Teaching 13.06.23 D1 V2
यदि ΔABC ≅ ΔPQR है,

तब, ∠ABC = ∠PQR 

⇒ (x + 60) = (85 - 4x)

⇒ 5x = 85 - 60 

⇒ x = 25/5 = 5 इकाई

इसलिए,

∠ABC = (x + 60)°

⇒ (5 + 60)° = 65°

∴ सही उत्तर 65° है।

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