Final answer:
The length of YZ cannot be determined with the given information due to the lack of context and necessary geometric relationships or formulae.
Step-by-step explanation:
The question provides information about two shapes, ABCD and WXYZ, but does not specify their type. One side, AD, of shape ABCD is 6 units long. Side DC of the same shape is 3 units. For shape WXYZ, angle IIZ is given as 59 degrees, but this information is irrelevant to finding YZ, as no further context is provided. For problems related to polygon properties, you typically need information on angles and sides to determine unknown lengths. However, given the lack of specific geometric relationships or additional context, we cannot directly find the length of YZ using the provided information. It seems there might have been a typo or incorrect details in the question, as the angle IIZ does not correspond to a linear measure like a side's length. Therefore, without assumptions or additional information, we cannot solve for YZ. Thus, the correct action is not to guess and inform the student that the question as presented is unsolvable.