கொடுக்கப்பட்ட படத்தில், ∠ABD = 55° மற்றும் ∠ACD = 30° , ∠BAC = y° மற்றும் தளர்வற்ற ∠BDC = x° எனில், (x - y) இன் மதிப்பு என்ன?

F2 Arun Kushwaha 8.11.21 D1

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NTPC CBT-I (Held On: 5 Jan 2021 Shift 1)
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  1. 85
  2. 15
  3. 95
  4. 105

Answer (Detailed Solution Below)

Option 1 : 85
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கொடுக்கப்பட்டது:

F4 SSC Savita 29-01-24 D3

∠ABD = 55° மற்றும் ∠ACD = 30°

கணக்கீடு:

∠BAD = α மற்றும் ∠CAD = β

எனவே ΔABD மற்றும் ΔACD முக்கோணத்தைப் பொருத்து,

∠ADB = 180°- α - 55°

∠ADC = 180 ° - β - 30°

புள்ளி Dக்கு,

∠ADB +∠ADC + x = 360°

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

⇒ x -y = 85°

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