Question : In the given figure, if KI = IT and EK = ET, then $\angle$ TEI =________.

Option 1: 75°
Option 2: 125°
Option 3: 105°
Option 4: 150°

Question

Question : In the given figure, if KI = IT and EK = ET, then $\angle$ TEI =________.

Option 1: 75°

Option 2: 125°

Option 3: 105°

Option 4: 150°

Team Careers360 · Accepted Answer

Correct Answer: 105°

Solution :
KI = IT and EK = ET
$\angle$ KET = 150°
In $ riangle$ KEI and $ riangle$ TEI,
KI = IT [Given]
EK = ET [Given]
EI = EI [Common]
So, $ riangle$ KEI $\cong$ $ riangle$ TEI,
⇒ $\angle$ KEI = $\angle$ TEI
Now,
$\angle$ KET + $\angle$ KEI + $\angle$ TEI = 360°
⇒ 150° + 2 × $\angle$ TEI = 360°
⇒ 2 $\angle$ TEI = 210°
⇒ $\angle$ TEI = 105°
Hence, the correct answer is 105°.

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Question : In the given figure, if KI = IT and EK = ET, then ∠ TEI =________. Option 1: 75°Option 2: 125°Option 3: 105°Option 4: 150°

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Question : In the given figure, if KI = IT and EK = ET, then $∠$ TEI =________.

Option 1: 75°
Option 2: 125°
Option 3: 105°
Option 4: 150°