Question

which are vertical angles? \
$\angle afe$ and $\angle bfd$ \
$\angle afe$ and $\angle cfd$ \
$\angle bfc$ and $\angle efa$ \
$\angle bfc$ and $\angle dfe$

Explanation:

Step1: Recall vertical angles definition

Vertical angles are opposite angles formed by two intersecting lines, they are equal and share a common vertex.

Step2: Analyze each option

• Option 1: ∠BFC and ∠DFE – Not opposite, no common vertex relation.
• Option 2: ∠BFC and ∠EFA – Not opposite.
• Option 3: ∠AFE and ∠CFD – These are opposite angles formed by intersecting lines (lines AE and CD, BF and...), share vertex F, so vertical angles.
• Option 4: ∠AFE and ∠BFD – Not opposite.

Answer:

∠AFE and ∠CFD (the third option, assuming the options are ordered left to right as 1 to 4, the correct one is the third rectangle with ∠AFE and ∠CFD)