Question

ce and fh are parallel lines. which angles are corresponding angles? ∠cdg and ∠fgi ∠cdg and ∠edb ∠cdg and ∠fgd ∠cdg and ∠edg

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

• $\angle CDG$ and $\angle FGI$: $\angle CDG$ and $\angle FGI$ are in the same relative position (both are on the left - hand side of the transversal $BI$ and above the parallel lines $CE$ and $FH$).
• $\angle CDG$ and $\angle EDB$ are vertical angles.
• $\angle CDG$ and $\angle FGD$ are alternate - interior angles.
• $\angle CDG$ and $\angle EDG$ are adjacent angles that form a linear pair.

Answer:

$\angle CDG$ and $\angle FGI$