The tangent to the circumcircle of a triangle at a point divides the opposite side into segments in the ratio 2:1, with the longer segment being the side that is closer to the tangent point.
In this case, the tangent point is X and the opposite side is XY. Since WX = 6 and XY = 14, the ratio of the segments is 2:1. This means that the length of the segment from X to Z is 2/3 * XY = 34/3
Therefore, YZ = XY - 34/3 = 8/3