Final answer:
Without additional context regarding the specific geometric relationship or a diagram connecting the provided angles to angle Z on House B, it is not possible to provide an accurate measure for angle Z.
Step-by-step explanation:
The question pertains to determining the measure of angle Z on House B. To provide a precise answer to this question, more context or additional information about the relationship between the angles of House A and House B is needed. The information provided includes various angle measurements and statements about other angles, such as in item (d), which gives a calculation of angles using a doubled value and subtraction. However, without knowing the specific relationship between these angles and angle Z on House B, or without a diagram, it is not possible to confidently affirm the correct measure of angle Z.
When builders are replacing congruent roofs on two houses, it implies that corresponding angles should have the same measurements, given that congruent figures are identical in shape and size. Nonetheless, the available information does not specify which of the angles provided, if any, corresponds to angle Z on House B.
Therefore, to accurately determine the measure of angle Z, the specific geometric relationship or theorem that connects angle Z with the angles provided must be known, or a visual representation should be given to establish the corresponding angles. Without this information, there is a risk of providing an incorrect measure for angle Z.