If line $QS$ bisects angle $\angle PQR$, this means that it divides $\angle PQR$ into two equal parts.

Let's define the information given in the problem:

• Let $\angle PQS = \angle SQR$ since line $QS$ bisects $\angle PQR$.

If you have specific expressions for the angles $\angle PQS$ and $\angle SQR$ (e.g., in terms of $x$), or if there is any additional information like the measure of $\angle PQR$, please provide that, and I can help solve for $x$.

Can you clarify or provide more details?