Question

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

Explanation:

Step1: Recall vertical angles definition

Vertical angles are formed when two lines intersect. They are opposite each other.

Step2: Analyze each option

• For $\angle AFE$ and $\angle CFD$: Not formed by two - line intersection in the required way.
• For $\angle BFC$ and $\angle EFA$: Not formed by two - line intersection in the required way.
• For $\angle AFE$ and $\angle BFD$: They are formed by the intersection of two lines (the lines containing \(AE\) and \(BD\)). They are opposite each other.
• For $\angle BFC$ and $\angle DFE$: Not formed by two - line intersection in the required way.

Answer:

$\angle AFE$ and $\angle BFD$