Given: NQ is the bisector of ∠MNP and ∠NMQ≅∠NPQ Prove: △MNQ≅△PNQ
Since NQ bisects ∠MNP, ∠MNQ = ∠QNP.
Considering that ∠NMQ≅∠NPQ, we can create the following diagram:
Notice that △MNQ and △PNQ share a side; meaning that we can use the ASA similarity rule to deduce that △MNQ≅△PNQ.
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