Question

which are vertical angles?
∠afe and ∠bfd
∠bfc and ∠dfe
∠afe and ∠cfd
∠bfc and ∠efa

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines.

Step2: Analyze each option

• For $\angle AFE$ and $\angle BFD$: They are not formed by the intersection of the same two lines.
• For $\angle BFC$ and $\angle DFE$: They are not formed by the intersection of the same two lines.
• For $\angle AFE$ and $\angle CFD$: They are not formed by the intersection of the same two lines.
• For $\angle BFC$ and $\angle EFA$: They are formed by the intersection of two lines (the lines that form the angles at point \(F\)) and are non - adjacent.

Answer:

$\angle BFC$ and $\angle EFA$