Step-by-step explanation:
in isos.Δ PQR
∠QPS = ∠QRS = 47° (ISOS. Δ PROP.)
∴, in Δ PQS and Δ SQR,
∠QPS = ∠QRS
PQ = RQ
∠PQS = ∠RQS
∴, Δ PQS ≅ Δ RQS (SAS CONGRUENCE)
∴, PS = SR = 17 (CPCT).
