Answer:
[tex]m\angle 6=39^o[/tex] by alternate interior angles
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
Alternate interior angles are formed when a transversal (in this problem line T) passes through two lines (line L1 and line L2) . The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. When the lines are parallel, the alternate interior angles are congruent.
so
[tex]m\angle 6=m\angle 3[/tex] ----> by alternate interior angles
[tex]m\angle 5=m\angle 4[/tex] ----> by alternate interior angles
we have that
[tex]m\angle 3=39^o[/tex]
therefore
[tex]m\angle 6=39^o[/tex]
