Answer:
34°
Explanation:
consider the triangles YZX and WZX
YZ = WZ (given)
YX = WX (given)
XZ is common in both
hence, triangle YZX & WZX are congrent to each other with the criteria SSS (side side side).
in triangle WQZ angle Q is 90°
hence,
56° - angle WZQ = 90°
=> 56° + x = 90°
=> x = (90 - 56)°
=> x = 34°
=> angle WZQ = 34°
YZX congrent to WZX
=> angle WZX = angle YZX = 34°
Hence the value of angle YZX = 34°