ఇచ్చిన పటంలో, ∠ABD = 55° మరియు ∠ACD = 30° , ఒకవేళ ∠BAC = y° మరియు నాన్-రిలాక్స్(విశ్రమించని కోణం) ∠BDC = x° అయితే, అప్పుడు x-y విలువ ఎంత?

F2 Arun Kushwaha 8.11.21 D1

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  1. 85
  2. 15
  3. 95
  4. 105

Answer (Detailed Solution Below)

Option 1 : 85
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ఇచ్చింది:

F4 SSC Savita 29-01-24 D3

∠ABD = 55° మరియు ∠ACD = 30°

గణన:

∠BAD = α మరియు ∠CAD = β

కాబట్టి త్రిభుజం ΔABD మరియు ΔACDని సూచిస్తూ,

∠ADB = 180°- α - 55°

∠ADC = 180 ° - β - 30°

బిందువు D కోసం,

∠ADB +∠ADC + x = 360°

⇒ 180° - α - 55° + 180 °- β - 30° + x = 360 °

⇒ 360 - α - β - 85° + x = 360

⇒ x - (α + β) - 85° = 0

⇒ x - y - 85° = 0

⇒ x -y = 85°

∴ సరైన సమాధానం ఎంపిక (1).

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