Final answer:
Given that XY bisects angle ZWX and the measure of angle ZWXY is 29°, the measures of angles ZXXY and ZZXW are also 29° and 58°, respectively.
Step-by-step explanation:
The question pertains to angle measurement in geometry and involves the concept of angle bisectors. The angle bisector XY divides angle ZWX into two equal parts. Given that the measure of angle ZWXY is 29°, we can deduce the measures of angles ZZXW and ZWXY.
Since XY bisects angle ZWX, it means that angles ZWXY and ZXXY are congruent (they have the same measure). Therefore, the measure of angle ZXXY is also 29°.
To find the measure of angle ZZXW, we need to recognize that angles ZWXY and ZXXY add up to form angle ZWX. Thus, if each of these angles measures 29°, then the measure of angle ZWX is 58° (which is 29° + 29°).