Answer:
ΔNKL ≅ ΔNML by ASA rule of congruency
Step-by-step explanation:
The given parameters are;
Given the quadrilateral, KLMN, with diagonal = LN
The diagonal LN = Angle bisector of angles ∠KNM and ∠KLM
Therefore, we have;
∠KNM = ∠KNL + ∠MNL and ∠KNL ≅ ∠MNL by definition of angles in angles formed by angle bisector NL
Given;
∠KNL ≅ ∠MNL by angles formed by an angle bisector angle
[tex]\overline {NL}[/tex] ≅ [tex]\overline {NL}[/tex] by reflexive property
∴ ΔNKL ≅ ΔNML by Angle-Side-Angle (ASA) rule of congruency
