Answer: [tex]\angle{VZW}\cong\angle{WZX}[/tex]
Step-by-step explanation:
In Δ VWZ and ΔYXZ
[tex]\frac{VZ}{YZ}=\frac{WZ}{XZ}...........\text{[given]}\\\angle{VZW}=\angle{WZX}...........\text{[vertical angles]}[/tex]
Therefore, by SAS similarity criteria, ΔVWZ ≈ ΔYXZ
hence, we use [tex]\angle{VZW}\cong\angle{WZX}[/tex] to prove both the triangles similar.
- SAS similarity theorem says that at if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
