question_answer

If the line AB || CD, then the value of \[{{x}^{\text{o}}}\]in  the adjoining figure is

A) \[105{}^\circ \]                        

B) \[{{125}^{\text{o}}}\]

C) \[130{}^\circ \]    

D) \[{{120}^{\text{o}}}\]

Correct Answer: C

Solution :

[c] Draw a line CE through C parallel to AP Clearly \[\angle PCE\text{ }=\text{ }25{}^\circ \] \[\therefore x{}^\circ =105{}^\circ +25{}^\circ =130{}^\circ \]