[tex]\begin{gathered} \angle CBF=\angle F \\ \text{Because they are corresponding angles} \\ \angle F=\angle EFB \\ \text{Because they are vertical angles} \\ \angle CBF=\angle E \\ \text{Because they are alternate angles} \\ \end{gathered}[/tex]
Now:
[tex]\begin{gathered} BF\cong EF \\ \angle BEF=\angle EFB=42.5 \end{gathered}[/tex]