Question

which angles are alternate exterior angles? ∠efh and ∠efc ∠efh and ∠gfc ∠efh and ∠dca ∠efh and ∠gfh

Explanation:

Step1: Recall alternate - exterior angles definition

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

Step2: Analyze each option

For $\angle EFH$ and $\angle EFC$, $\angle EFC$ is an interior angle, so they are not alternate - exterior angles. For $\angle EFH$ and $\angle GFC$, $\angle GFC$ is an interior angle, so they are not alternate - exterior angles. For $\angle EFH$ and $\angle GFH$, they are adjacent angles, so they are not alternate - exterior angles. For $\angle EFH$ and $\angle DCA$, they lie outside the lines $EG$ and $BD$ and on opposite sides of the transversal $HA$.

Answer:

$\angle EFH$ and $\angle DCA$