ஒரு செவ்வக வடிவ PQRS இல், m∠QPR = 26° எனில், m∠SQR = __________.

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RRB Group D 20 Sept 2022 Shift 1 Official Paper
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  1. 52°
  2. 26°
  3. 74°
  4. 64°

Answer (Detailed Solution Below)

Option 4 : 64°
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Detailed Solution

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கொடுக்கப்பட்டது:

QPR = 26°

பயன்படுத்தப்பட்ட கருத்து:

கோணங்கள் இரு சமபக்க முக்கோணத்தின் சமமான பக்கத்திற்கு சமமாக இருக்கும்

கணக்கீடுகள்:

மூலைவிட்டங்கள் சமமாக இருப்பதால் அவை நடுப்புள்ளியில் ஒன்றையொன்று பிரிக்கின்றன

⇒ so, SO = OR

OPQ என்ற முக்கோணத்தில்

⇒ OP = OQ

⇒ so, ∠OPQ = ∠OQP = 26°

நாம் அறிந்தபடி, செவ்வகத்தின் ஒவ்வொரு கோணமும் 90° ஆகும்

⇒ ∠Q = ∠OQP + ∠OQR

⇒ 90° = 26° + ∠OQR

⇒ ∠OQR = 90 - 26 = 64°

⇒ எனவே, தேவையான மதிப்பு 64° ஆகும்

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