AB || CD. Angle BAC = 72 degrees. Angle ACD = x degrees. Angle DCE = 152 degrees. Find x.

We are given that line AB is parallel to line CD (AB || CD).
We have a transversal line intersecting AB at A and CD at C.
The angle $\angle BAC = 72^\circ$.
The angle $\angle ACD = x^\circ$.
There is also an angle $\angle DCE = 152^\circ$, where E is a point on a line extending from C.

The angles $\angle BAC$ and $\angle ACD$ are alternate interior angles formed by the parallel lines AB and CD and the transversal AC.
According to the properties of parallel lines, alternate interior angles are equal.
Therefore, $\angle BAC = \angle