F9 Savita SSC 24-4-23 D1

ఇచ్చిన చిత్రంలో, KI = IT మరియు EK = ET అయితే, అప్పుడు ∠TEI = .

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
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  1. 75°
  2. 125 °
  3. 105 °
  4. 150 °

Answer (Detailed Solution Below)

Option 3 : 105 °
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Detailed Solution

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ఇచ్చిన:

KI = IT; EK = ET

∠KET = 150°

లెక్కింపు:

△KEI మరియు △TEI లో

⇒ KI = IT (ఇవ్వబడింది)

⇒ EK = ET (ఇవ్వబడింది)

⇒ EI = EI (సాధారణం)

△KEI ≅ △TEI (SSS)

⇒ ∠ KEI = ∠ TEI (CPCT ద్వారా)

ఇప్పుడు,

⇒ ∠KET + ∠KEI + ∠TEI = 360°

150° + 2 x ∠TEI = 360°

2 x ∠TEI = 360° - 150°

⇒ ∠TEI = 210/2 = 105°

∴ సరైన సమాధానం 105°.

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