ఇచ్చిన పటంలో, MN = RM = RP అయితే, అప్పుడు ∠MPR విలువ (డిగ్రీలలో) ఎంత?

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SSC CGL Previous Paper 10 (Held On: 10 August 2017 Shift 1)
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  1. 47
  2. 68
  3. 72
  4. నిర్ధారించలేము

Answer (Detailed Solution Below)

Option 2 : 68
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ఇక్కడ, ΔPRM మరియు ΔMRN సమద్విబాహు త్రిభుజాలు

అలాగే, ΔRPNలో

⇒ ∠RPM + ∠RNP = 102°         ….(i)     [బాహ్య కోణ నియమం]

⇒ ∠MRN = ∠MNR

⇒ ∠MRN + ∠MNR = ∠RMP     …(ii)       [బాహ్య కోణ నియమం]

⇒ 2∠RNP = ∠RMP = ∠RPM

(i) మరియు (ii) ద్వారా మనకు లభిస్తుంది

⇒ 3/2(∠RPM) = 102°

⇒ ∠RPM = 68°

∴ సరైన ఎంపిక  2) 

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