Respuesta :

Answer:

x = 29°

Step-by-step explanation:

Using angle sum property of triangle, we need to find ∠BCA.

In ΔBCA,

  42° + 109° + ∠BCA = 180°

            151   + ∠BCA = 180

                       ∠BCA = 180 - 151

                       ∠BCA = 29°

BC and DE are parallel lines and CF is transversal.

x = ∠BCA    {Alternate interior angles are equal}

 [tex]\sf \boxed{x = 29^\circ}[/tex]