Question

which angle is vertical to ∠aeb?

Explanation:

Step1: Recall vertical - angle definition

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

Step2: Identify intersecting lines

Lines $AC$ and $GB$ intersect at point $E$.

Step3: Find the vertical angle

The angle vertical to $\angle AEB$ is $\angle DEC$ because they are opposite each other at the intersection of the two lines.

Answer:

$\angle DEC$