△MNQ ≅ △PNQ by SAS congruence theorem.
<h3>What is the SAS Congruence Theorem?</h3>
If two triangles are congruent by the SAS congruence theorem, then they have two pairs of corresponding congruent sides and a pair of corresponding included sides that are congruent.
∠MNQ ≅ ∠PNQ [congruent angles formed by angle bisector]
Therefore, opposite sides to the angles, MQ and PQ would also be congruent.
Thus, MQ ≅ PQ
NQ ≅ NQ [reflexive property]
This means that both triangles have two pairs of corresponding congruent sides and a pair of corresponding included sides that are congruent.
Thus, △MNQ ≅ △PNQ by SAS congruence theorem.
Learn more about the SAS congruence theorem on:
brainly.com/question/2102943
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