Respuesta :

Answer:

Option A.) is correct  [tex]\triangle XYZ \sim \triangle WVZ[/tex]  by AA similarity. There are two angles that are congruent given by [tex]\angle ZXY = \angle ZWV \hspace{0.2cm} and\hspace{0.2cm} \angle ZYX = \angle ZVW[/tex].

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

Step-by-step explanation:

From the given figure we can say that

i) Option A.) is correct  [tex]\triangle XYZ \sim \triangle WVZ[/tex]  by AA similarity. There are two angles that are congruent given by [tex]\angle ZXY = \angle ZWV \hspace{0.2cm} and\hspace{0.2cm} \angle ZYX = \angle ZVW[/tex].

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.