Question

which angles are alternate exterior angles?

∠gfh and ∠gfc ∠efc and ∠bca

∠efh and ∠efc ∠dca and ∠efh

Explanation:

Step1: Recall Alternate Exterior Angles Definition

Alternate exterior angles are formed when a transversal crosses two parallel lines. They lie outside the two lines and on opposite sides of the transversal.

Step2: Analyze Each Option

• Option 1: $\angle GFH$ and $\angle GFC$: These are adjacent angles, not alternate exterior.
• Option 2: $\angle EFC$ and $\angle BCA$: $\angle EFC$ is interior, $\angle BCA$ is interior, not exterior.
• Option 3: $\angle EFH$ and $\angle EFC$: Adjacent angles, not alternate exterior.
• Option 4: $\angle DCA$ and $\angle EFH$: $\angle DCA$ is outside line $BD$, $\angle EFH$ is outside line $EG$, on opposite sides of transversal $AH$. They fit alternate exterior angles.

Answer:

$\angle DCA$ and $\angle EFH$