Notice that
[tex]\measuredangle7+\measuredangle6=180^{\circ}[/tex]
then,
[tex]\measuredangle6=180^{\circ}-114^{\circ}=66^{\circ}[/tex]
Now, since the lines are parallel
[tex]\measuredangle6=\measuredangle4[/tex]
because they are alternate interior angles.
Answer:
[tex]\measuredangle4=66^{\circ}[/tex]
