Answer: ∆LAW ≅ ∆WKL
By rule - ASA congruence postulate.
Step-by-step explanation:
Given: In ∆LAW and ∆WKL
AW⊥WL and WL⊥KL
[tex]\angle{AWL}=\angle{WLK}.......[\text{Each }90^{\circ}]\\WL=WL..........\text{[reflexive property]}\\\angle{ALW}=\angle{KWL}.......\text{given in the picture}[/tex]
therefore, by ASA postulate of congruence
∆LAW ≅ ∆WKL
- ASA postulate says that if two angles and the included side of one triangle are congruent to two angles and the included side of second triangle, then the triangles are said to be congruent.