Question

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

Explanation:

Step1: Recall vertical - angles definition

Vertical angles are formed when two lines intersect. They are non - adjacent angles and are opposite each other.

Step2: Analyze each option

For option 1: ∠AFE and ∠BFD are not vertical angles as they are not formed by the same two intersecting lines.
For option 2: ∠BFC and ∠DFE are vertical angles. They are non - adjacent and formed by the intersection of lines EC and AD at point F.
For option 3: ∠AFE and ∠CFD are not vertical angles as they are not formed by the same two intersecting lines.
For option 4: ∠BFC and ∠EFA are not vertical angles as they are not formed by the same two intersecting lines.

Answer:

∠BFC and ∠DFE