Question

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

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other.

Step2: Analyze each option

• For $\angle CDB$ and $\angle EDB$: These are adjacent angles (they share a common side $DB$), so they are not vertical angles.
• For $\angle CDB$ and $\angle HGI$: These are not formed by the intersection of the same two lines. $\angle CDB$ is formed by lines $CE$ and $BI$, and $\angle HGI$ is also formed by lines $FH$ and $BI$, but they are not in the vertical - angle relationship.
• For $\angle CDB$ and $\angle HGD$: These are not formed by the intersection of the same two lines.
• For $\angle CDB$ and $\angle EDG$: Lines $CE$ and $BI$ intersect at point $D$. $\angle CDB$ and $\angle EDG$ are non - adjacent and opposite each other at the intersection of lines $CE$ and $BI$.

Answer:

$\angle CDB$ and $\angle EDG$