दिलेल्या आकृतीमध्ये, MN = RM = RP, तर ∠MPR चे मूल्य (अंशांमध्ये) किती आहे?

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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. ठरवता येत नाही

Answer (Detailed Solution Below)

Option 2 : 68
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येथे, ΔPRM आणि ΔMRN समद्विभुज त्रिकोण आहेत

तसेच, ΔRPN मध्ये

⇒ ∠RPM + ∠RNP = 102° ....(i) [बाह्य कोन गुणधर्म]

⇒ ∠MRN = ∠MNR

⇒ ∠MRN + ∠MNR = ∠RMP …(ii) [बाह्य कोन मालमत्ता

⇒ 2∠RNP = ∠RMP = ∠RPM

(i) आणि (ii) द्वारे, आपल्याला मिळते

⇒ 3/2(∠RPM) = 102°

⇒ ∠RPM = 68°

∴ योग्य पर्याय 2 आहे.

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