Question
Download Solution PDFIn the given figure, if KI = IT and EK = ET, then ∠TEI = .
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
KI = IT; EK = ET
∠KET = 150°
Calculation:
In △KEI and △TEI
⇒ KI = IT (Given)
⇒ EK = ET (Given)
⇒ EI = EI (Common)
△KEI ≅ △TEI (SSS)
⇒ ∠ KEI = ∠ TEI (By C.P.C.T.)
Now,
⇒ ∠KET + ∠KEI + ∠TEI = 360°
⇒ 150° + 2 × ∠TEI = 360°
⇒ 2 × ∠TEI = 360° - 150°
⇒ ∠TEI = 210/2 = 105°
∴ The correct answer is 105°.
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