Question

which angles are vertical to ∠fga? select all that apply. ∠agb ∠egf ∠agc ∠cgd

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are non - adjacent angles with a common vertex and their sides are formed by the same two intersecting lines.

Step2: Identify vertical angle to ∠FGA

In the given figure, when we consider the intersection of the lines containing the rays forming ∠FGA, the angle that is vertical to ∠FGA is ∠EGC. But among the given options, we note that ∠EGF is the vertical angle to ∠AGC and ∠AGB is adjacent to ∠FGA and ∠CGD is not related as a vertical angle to ∠FGA. There is an error in the options provided as the correct vertical angle to ∠FGA is not among them. However, if we assume a mis - labeling or a different interpretation based on the intersection of lines concept, we know that vertical angles are equal in measure and are opposite each other at the intersection of two lines.

Answer:

No correct option among the given ones.