Answer:
[tex]m\angle 6=54^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called Alternate Interior Angles.
When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent
In this problem
[tex]m\angle 6=m\angle 3[/tex] ---> by alternate interior angles
we have
[tex]m\angle 3=54^o[/tex]
therefore
[tex]m\angle 6=54^o[/tex]
