AAS theorem proves the triangles are congruent.
What are congruent triangles?
Two triangles are said to be congruent if their corresponding sides and angles are equal.
Given,
∠V ≅ ∠Y, bisects ∠VWY
Accoding to the Angle Angle Side Postulate (AAS),
Triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.
∴ ∆VWZ ≅ ∆YWZ
We say Angle Angle side Similarty if the two conscutive angles of the triangle are congrent.
Hence, AAS theorem proves the triangles are congruent.
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