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  • In the given figure, AB is parallel to CD, Then the value of measure of x is <img alt="" src="https://cdn.entrance360.com/media/uploads/2020/05/26/lq21.png" style="height:165px; width:200

In the given figure, AB is parallel to CD, Then the value of measure of x is

 

Option: 1

\large 30^{\circ}


Option: 2

\large 60^{\circ}


Option: 3

\large 150^{\circ}


Option: 4

\large 120^{\circ}


Answers (1)

best_answer

 

AB is parallel to CD

from the theorem

\begin{align*} \large \angle BCD + \angle CDE &= 180^{\circ} \\ \Rightarrow \angle BCD + 60^{\circ} &= 180^{\circ} \\ \Rightarrow \angle BCD &= 120^{\circ} \\ \angle ABC &= \angle BCD \quad \left(\text{alternate interior angle}\right) \\ \Rightarrow x &= 120^{\circ} \end{align*}

 

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rishi.raj

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