UVWX is a trapezium with UV \( \parallel \) XW.<br><br>
&bull; In a trapezium, interior angles on the same side of a leg sum to 180&deg; (co-interior angles).<br>
&bull; From the diagram, \( \angle \)UVW = 119&deg; (given).<br>
&bull; \( \angle \)UVX + \( \angle \)XVW = \( \angle \)UVW = 119&deg;.<br>
&bull; From the diagram, \( \angle \)XVW = 90&deg; (right angle marked).<br>
&bull; \( \angle \)UVX = 119&deg; &minus; 90&deg; = 29&deg;.<br><br>
Final Answer: 29&deg;