Question

which angles are alternate exterior angles? ∠hgd and ∠fgi ∠edg and ∠fgd ∠cdg and ∠edg ∠hgi and ∠cdb

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 $\angle HGD$ and $\angle FGI$, they are adjacent angles, not alternate - exterior angles.
• For $\angle EDG$ and $\angle FGD$, they are alternate - interior angles.
• For $\angle CDG$ and $\angle EDG$, they are adjacent angles.
• For $\angle HGI$ and $\angle CDB$, they are non - adjacent, lie outside the two lines ($CE$ and $FH$) and on opposite sides of the transversal $BI$.

Answer:

$\angle HGI$ and $\angle CDB$