Respuesta :

answer: y = 50 degrees

Answer: y= 50

Step-by-step explanation:

The angles that are formed  inside the two lines and on opposite sides of the transversal are known as alternate interior angles.

Consider the given figure , we can see that line b and line c are intersected by  a transversal so by the definition of alternate interior angles,

The alternate interior angles formed = [tex]y^{\circ}[/tex] and  [tex]50^{\circ}[/tex]

Since we are given that two parallel lines are crossed by a transversal.

Then the alternative interior angles must be congruent.

[tex]\Rightarrow\ y^{\circ}=50^{\circ}[/tex]

Hence, the value of y= 50