In the diagram below, $\angle PQR = \angle PRQ = \angle STR = \angle TSR$, $RQ = 8$, and $SQ = 2$. Find $PQ$.

This question has been asked in many other places as well but they're all wrong or unanswered, one of which is: https://web2.0calc.com/questions/plz-help-and-its-not-8-2-whoever-said-that

thanks for any help