ఇచ్చిన చిత్రంలో, ∠ABC = 81° మరియు ∠ACB = 9°. ∠BDC విలువ ఎంత?

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 80° 
  2. 90° 
  3. 70° 
  4. 60° 

Answer (Detailed Solution Below)

Option 2 : 90° 
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SSC CGL Tier 1 2025 Full Test - 01
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Detailed Solution

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ఇచ్చిన సమాచారం:

∠ABC = 81°

∠ACB = 9°

ఉపయోగించిన పద్దతి:

అదే ఆర్క్ ద్వారా ఉపబలంగా చుట్టుకొలత వద్ద కోణాలు సమానంగా ఉంటాయి.

త్రిభుజం లోపలి కోణాల మొత్తం 180°.

సాధన:

△ ABCలో

⇒ ∠ABC +∠ACB + ∠BAC = 180° (కోణం మొత్తం విలువ)

⇒ 81° + 9° + ∠BAC = 180°

⇒ ∠BAC = 180° - 90° = 90°

ఇప్పుడు,

⇒ ∠BAC = ∠BDC = 90° (ఒకే విభాగంలో కోణం)

∴ సరైన సమాధానం ∠BDC = 90°.

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