Answer:
[tex]AD || BC[/tex]
Step-by-step explanation:
Required
What proves:
[tex]m\angle 2 = m\angle C[/tex]
[tex]m\angle 2[/tex] and [tex]m\angle C[/tex] are opposite [tex]angles[/tex] of the [tex]parallelogram.[/tex]
Also:
[tex]m\angle 2[/tex] is on [tex]AD[/tex] and [tex]m\angle C[/tex] is on [tex]BC[/tex]
So, for [tex]m\angle 2 = m\angle C[/tex] to be true [tex]AD || BC[/tex] must be true.
