প্রদত্ত চিত্রে, MN = RM = RP, তাহলে ∠MPR এর মান (ডিগ্রীতে) কত?

07.02.2018.019

This question was previously asked in
SSC CGL Previous Paper 10 (Held On: 10 August 2017 Shift 1)
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  1. 47
  2. 68
  3. 72
  4. নির্ণয় করা যায় না

Answer (Detailed Solution Below)

Option 2 : 68
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এখানে, ΔPRM এবং ΔMRN হল সমদ্বিবাহু ত্রিভুজ।

এছাড়াও, ΔRPN-এ

⇒ ∠RPM + ∠RNP = 102° ....(i) [বাহ্যিক কোণের বৈশিষ্ট্য়]

⇒ ∠MRN = ∠MNR

⇒ ∠MRN + ∠MNR = ∠RMP …(ii) [বাহ্যিক কোণের বৈশিষ্ট্য়]

⇒ 2∠RNP = ∠RMP = ∠RPM

(i) এবং (ii) দ্বারা পাই,

⇒ 3/2(∠RPM) = 102°

⇒ ∠RPM = 68°

∴ সঠিক উত্তর বিকল্প 2)

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