ఒక వృత్తంలో, ABCD ఒక చక్రీయ చతుర్భుజం. AC మరియు BD లు P వద్ద ఖండించుకుంటాయి. AB = AC మరియు ∠BAC = 48° అయితే, ∠ADC యొక్క కొలత

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SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 3)
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  1. 104° 
  2. 112° 
  3. 132°
  4. 114° 

Answer (Detailed Solution Below)

Option 4 : 114° 
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Detailed Solution

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ఇవ్వబడింది:

AB = AC మరియు ∠BAC = 48°

ఉపయోగించిన భావన:

చక్రీయ చతుర్భుజం యొక్క వ్యతిరేక కోణాల మొత్తం = 180°

లెక్కింపు:

F1 Pranali SSC 22.06.22 D3

∠ABC = ∠ACB [∵ AB = AC ]

∠BAC + ∠ABC + ∠ACB = 180°

కాబట్టి, ∠ABC = ∠ACB = (180° - 48°)/2 = 132°/2 = 66°

అలాగే, ∠ADC + ∠ABC = 180°

∠ADC + 66° = 180°

⇒ ∠ADC = 180° - 66° = 114°

∴ ∠ADC యొక్క కొలత 114°

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