can you post the actual figure without any extensions or comments?

AD is the transversal for the parallel lines AB and CD. So we do know that x = v.

Now, AD is intersected by the segment extended from point B, let’s call this point on AD as P. Similarly let’s call thus point on AD extended from C as Q.

Since they have not given any constraint on the lines BP and CQ, P can be anywhere on the line AD i.e. point P is not fixed. So the angle y depends on where point P lies. Similar argument for point Q and angle w can be made. So y and w are not known. so we can’t be sure if y=w or y<w or y>w