Question

As shown in the diagram below, ABC || EFG andBF EF.

Answer 1

`\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}`

Now:

`\begin{gathered} BF\cong EF \\ \angle BEF=\angle EFB=42.5 \end{gathered}`

Therefore:

`\begin{gathered} \angle EBF=180-\angle BEF-\angle EFB \\ \angle EBF=180-42.5-42.5 \\ \angle EBF=180-85 \\ \angle EFB=95 \end{gathered}`