In the given diagram below, which are the pairs of adjacent angles?

$\angle \mathrm{PQS}$ and $\angle \mathrm{SQR}$ are adjacent angles because they have one common arm (ray QS) and one common vertex (Point $\mathrm{Q}$). Ray PQ and ray QR are their non-common arms.
For adjacent angles $\angle \mathrm{PQS}$ and $\angle \mathrm{SQR}$,
$\angle \mathrm{PQS}+\angle \mathrm{SQR}=\angle \mathrm{PQR}$