Question

which angle is vertical to ∠cgd?

Explanation:

Step1: Recall vertical - angle definition

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

Step2: Identify intersecting lines

Lines $\overrightarrow{AC}$ and $\overrightarrow{DF}$ intersect at point $G$.

Step3: Determine vertical angle

$\angle CGB$ and $\angle DGE$ are vertical angles, and $\angle CGD$ and $\angle BGE$ are vertical angles.

Answer:

$\angle BGE$