Answer:
We know that,
Angle E = 123
Angle B = 57
We observe that,
Angle DEB and Angle E form a linear pair and are supplementary.
Angle DEB + Angle E = 180
Angle DEB = 180-123
=57
We know that if two lines are parallel, the corresponding angles are equal.
Conversely, if the corresponding angles are equal, then the two lines are parallel.
Here,
As Angle B and Angle DEB are corresponding angles are equal in measure (Angle B = Angle DEB = 57), we can say that Line AC and Line DF are parallel.
