Question

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

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• $\angle CDB$ and $\angle EDB$ are adjacent angles that form a linear - pair, not vertical angles.
• $\angle CDB$ and $\angle FGI$ are corresponding angles (since $CE\parallel FH$), not vertical angles.
• $\angle CDB$ and $\angle EDG$ are vertical angles because lines $CE$ and $BI$ intersect at point $D$, and $\angle CDB$ and $\angle EDG$ are opposite each other at the intersection.
• $\angle CDB$ and $\angle HGD$ are alternate - interior angles (since $CE\parallel FH$), not vertical angles.

Answer:

$\angle CDB$ and $\angle EDG$