Answer:
27 degrees
Explanation:
So looking at this rhombus, we can make out 4 seperate traingles.
How many degrees are in a traingle? 180.
Looking at the traingle with z angle in it, we can see that it is a right traingle.
Now, lets subtract that 90 degrees from the 180.
This leaves us with the 63 degrees and x that make up the 90 degrees that are left.
Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.
90 minus 63 is 27, so the angle of z is:
27 degrees
I hope this helps!
Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.