Question

which angle number represents an angle vertical to ∠bgc?

Explanation:

Step1: Recall vertical - angles definition

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

Step2: Identify intersecting lines

The lines that form ∠BGC are the lines that intersect at point G. The angle vertical to ∠BGC will be the angle opposite to it at the intersection of the same two lines.

Step3: Determine the vertical angle

∠BGC and ∠AGD are vertical angles because they are formed by the intersection of the same two lines. In the given figure, ∠BGC and ∠AGD are opposite each other at the intersection of the two lines.

Answer:

∠AGD