F9 Savita SSC 24-4-23 D1

दिलेल्या आकृतीमध्ये, KI = IT आणि EK = ET असल्यास, ∠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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दिल्याप्रमाणे:

KI = IT; EK = ET 

∠KET = 150° 

गणना:

△KEI आणि △TEI मध्ये

⇒ KI = IT (दिलेले)

⇒ EK = ET (दिलेले)

⇒ EI = EI (सामान्य)

△KEI ≅ △TEI (बा-बा-बा)

⇒ ∠ KEI = ∠ TEI (C.P.C.T. द्वारे)

आता,

⇒ ∠KET + ∠KEI + ∠TEI = 360°

⇒ 150° + 2 × ∠TEI = 360°

⇒ 2 × ∠TEI = 360° - 150°

⇒ ∠TEI = 210/2 = 105°

∴ योग्य उत्तर 105° आहे.

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