Triangles : isoceles and angles inside with other triangle

We have one main isoceles and another one inside of it. I have attached here a diagram, and we wish to find the angle in red:

The labels blue means : lengths $PQ=QR$ The label green means : lengths $QS=QT$. The given angle $PQS=24$ (deg)

We wish to find angle in red, angle RST.

We have one main isoceles and another one inside of it. I have attached here a diagram, and we wish to find the angle in red:

The labels blue means : lengths $PQ=QR$ The label green means : lengths $QS=QT$. The given angle $PQS=24$ (deg)

We wish to find angle in red, angle RST.