UVYZ is a square (all angles 90&deg;) and WXYZ is a trapezium.<br><br>\(\angle VYZ = 90&deg;\) (square).<br>From the figure, \(\angle ZYX\) in the trapezium is 55&deg;.<br>\(\angle VYX = \angle VYZ + \angle ZYX = 90&deg; + 55&deg; = 145&deg;\).<br><br>Final Answer: 145&deg;