दिए गए चित्र में, ΔQPS ≅ ΔSRQ है। ∠PSR की माप ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. 64°
  2. 74°
  3. 52°
  4. 82°

Answer (Detailed Solution Below)

Option 2 : 74°
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SSC CGL Tier 1 2025 Full Test - 01
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दिया गया है

ΔQPS ≅ ΔSRQ

प्रयुक्त संकल्पना

सर्वांगसमता: दो त्रिभुजों को सर्वांगसम कहा जाता है यदि उनकी सभी संगत भुजाएँ और कोण एक दूसरे के बराबर हों।

गणना

प्रश्न के अनुसार,

∠P = ∠R
 
⇒ 106 = 2x + 12
 
⇒ 2x = 94
 
⇒ x = 94/2 = 47
 
∠QSR = 180 - 52 - 106 = 22
 
∠PSQ = ∠SQR = 52
 
∠S = 52 + 22 = 74°
 
उत्तर 74° है।
 

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