O மையத்தைக் கொண்ட ஒரு வட்டத்தில் PQR என்பது Q புள்ளியில் உள்ள ஒரு தொடுகோடு ஆகும். AB என்பது ∠BQR = 70° என்ற தொடுகோட்டுக்கு இணையான வட்டத்தில் உள்ள ஒரு நாண் ஆகும். ∠AQB இன் அளவு என்ன?

This question was previously asked in
SSC CGL Previous Paper 51 (Held On: 7 June 2019 Shift 3)
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  1. 35°
  2. 60°
  3. 55°
  4. 40°

Answer (Detailed Solution Below)

Option 4 : 40°
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Detailed Solution

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F3 V.G Deepak 17.10.2019 D 4

⇒ ∠BQR = 70° (கொடுக்கப்பட்டது)

⇒ ∠BQR = ∠QBA = 70° (மாற்று உள் கோணம்)

⇒ ∠BQR = ∠QAB = 70° (மாற்று பிரிவு தேற்றம்)

ΔAQB இல்

⇒ ∠AQB + ∠QAB + ∠QBA = 180°

⇒ ∠AQB + 70° + 70° = 180°.

⇒ ∠AQB = 180° – 140° = 40°.

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