question_answer

In the adjoining figure, it is given that\[{{60}^{o}}\], is a transversal. Then the value of x is

A)  \[{{55}^{o}}\]           

B)  \[\frac{BF}{FD}=\frac{BE}{EA}\]                                  

C)  \[\Rightarrow \]                                  

D) None of these

Correct Answer: A

Solution :

Let the transversal t cut the line \[l\] at O and the given line m at P. Now,  \[CE||BA\] \[\angle ECD={{65}^{o}}\] \[\angle ACB=\]  \[{{60}^{o}}\] \[{{55}^{o}}\]  Alternate interior angles are equal.             \[{{70}^{o}}\] \[{{90}^{o}}\]   \[l||m,\]