The lines shown below are parallel.What is the value of x?

Explanation
when a line intersects a pair of parallel lines, diverse angles are created
the pair of interior angles in opposite sides of the transversal are called alternate interior angles
those angles are congruent, it means
[tex]\text{angle}\angle1=angle\angle2[/tex]so, for the angles in the question
[tex]\begin{gathered} 55\~=m\angle x \\ 55=x \end{gathered}[/tex]therefore, the answer is
[tex]B)55[/tex]I hope this helps you