Question

ce and fh are parallel lines. which angles are alternate exterior angles? ∠hgi and ∠edg ∠hgi and ∠cdb ∠hgi and ∠hgd ∠hgi and ∠edb

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each option

• For $\angle HGI$ and $\angle EDG$: $\angle EDG$ is not an exterior angle with respect to the parallel lines $CE$ and $FH$.
• For $\angle HGI$ and $\angle CDB$: $\angle CDB$ is not an exterior angle with respect to the parallel lines $CE$ and $FH$.
• For $\angle HGI$ and $\angle HGD$: These are adjacent angles, not alternate exterior angles.
• For $\angle HGI$ and $\angle EDB$: $\angle HGI$ and $\angle EDB$ are non - adjacent, lie outside the parallel lines $CE$ and $FH$, and are on opposite sides of the transversal $BI$.

Answer:

$\angle HGI$ and $\angle EDB$