question_answer

In the given figure AB || CD. Then \['x'\] is equal to

A)  \[26{}^\circ \]                                  

B)  \[13{}^\circ \]

C)  \[23{}^\circ \]                                  

D)  \[46{}^\circ \]

Correct Answer: B

Solution :

    Draw a line \[EF|\,\,|AB,\]\[EF\] is also parallel to CD                \[\{\text{as}\,AB|\,\,|CD\}\] \[4x=\angle A\] (Corresponding angles) \[6x=\angle B\] (Corresponding angles) \[10x=\angle A+\angle B=130{}^\circ \] \[x=\frac{130{}^\circ }{10}=13{}^\circ \]