Given: QS bisects ∠RQT; ∠R ≅ ∠ T
Prove: SQ bisects ∠RST
To prove that SQ bisects ∠RST, we need to show that ∠QSR ≅ ∠QST.
By the given information, QS bisects ∠RQT. This means that ∠QSR ≅ ∠QST.
Since ∠R ≅ ∠T, we can use the transitive property of congruence to conclude that ∠QSR ≅ ∠QST.
Therefore, SQ bisects ∠RST, as required.