Answer:
z = 22
Explanation:
Because we are given that angle measures TUW and VUW are the same, we can assume that both triangles are the same since they also have 90 degree angles and both their third angles are equal to 54. (I found that out by taking 180 degrees which is the total angle measure of all triangles, and subtracted it by 90 and 36).
Since they are the same, that means that side TW is the same length as side VW. With this information we can set up an expression:
2z = z + 22
Now, all we have to do is solve for z
2z = z + 22
-z - z
z = 22