Question

which angles are alternate exterior angles?
∠efd and ∠jik ∠efd and ∠jif
∠efd and ∠hif ∠efd and ∠gfi

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze each pair

• For $\angle EFD$ and $\angle JIK$:
• $\angle EFD$ and $\angle JIK$ lie outside the lines $HJ$ and $EG$ (the two parallel - looking lines) and on opposite sides of the transversal $KD$.
• For $\angle EFD$ and $\angle JIF$: $\angle JIF$ is not an exterior angle (it lies between the two lines $HJ$ and $KD$).
• For $\angle EFD$ and $\angle HIF$: $\angle HIF$ is not an exterior angle (it lies between the two lines $HJ$ and $KD$).
• For $\angle EFD$ and $\angle GFI$: $\angle GFI$ is adjacent to $\angle EFD$ (they share a common side $FI$).

Answer:

$\angle EFD$ and $\angle JIK$