F9 Savita SSC 24-4-23 D1

दी गई आकृति में, यदि KI = IT और EK = ET है, तो ∠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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दिया गया है:

KI = IT; EK = ET 

∠KET = 150° 

गणना:

△KEI और △TEI में,

⇒ KI = IT (दिया गया है)

⇒ EK = ET (दिया गया है)

⇒ EI = EI (उभयनिष्ठ)

△KEI ≅ △TEI (भुजा-भुजा-भुजा)

⇒ ∠ KEI = ∠ TEI (C.P.C.T. द्वारा)

अब,

⇒ ∠KET + ∠KEI + ∠TEI = 360° 

⇒ 150° + 2 × ∠TEI = 360°

⇒ 2 × ∠TEI = 360° - 150°

⇒ ∠TEI = 210/2 = 105°

सही उत्तर 105° है।

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