Basic Geometry - Angles Formed by Two Parallel Lines and a Transversal

Two straight roads, \(AB\) and \(CD\), are parallel. A cycle path runs from \(P\) to \(R\), then from \(R\) to \(Q\).
Points \(A,P,B\) and \(C,Q,D\) lie on their respective roads. The straight path \(PR\) is extended beyond \(R\) to \(S\).
A surveyor draws a horizontal reference ray \(RX\) pointing left, parallel to both roads.
It is given that \[\angle BPR=32^\circ,\qquad \angle DQR=47^\circ.\]

Find the following angles, giving reasons for your answers.

1. \(\angle PRX\).

   [1]

2. \(\angle XRQ\).

   [1]

3. \(\angle PRQ\).

   [2]

4. Reflex \(\angle SRQ\).

   [2]