In the diagram PQ // RS, QU // PT and PSR = 42^. Find angle x.

Let's solve using the properties of parallel lines.

: In the diagram PQ // RS, QU // PT and $\angle PSR = 42^\circ$. Find angle $x$.

We are given two pairs of parallel lines:

1. Line PQ is parallel to line RS ($PQ \parallel RS$).
2. Line QU is parallel to line PT ($QU \parallel PT$). We need to find the value of angle $x$, which is $\angle PQU$.

Step 1: Identify angles using the first pair of parallel lines.
Consider the parallel lines $PQ$ and $RS$. The line segment $PS$ acts as a transversal.
The angles