Question

which angle is vertical to ∠ebg?

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are non - adjacent angles opposite each other.

Step2: Identify intersecting lines

Lines $CF$ and $AD$ intersect at point $E$, and lines $AD$ and $HG$ intersect at point $B$.

Step3: Find the vertical angle of $\angle EBG$

The angle vertical to $\angle EBG$ is $\angle FBA$ because they are non - adjacent and formed by the intersection of the same two lines.

Answer:

$\angle FBA$