Question

if \\( \overline{gd} \\) bisects \\( \angle cge \\) which angle is congruent to \\( \angle cgd \\)?

Explanation:

Step1: Recall the definition of angle bisector

An angle bisector divides an angle into two congruent angles.

Step2: Analyze the given information

Since \( \overline{GD} \) bisects \( \angle CGE \), by the definition of angle bisector, \( \angle CGD\cong\angle EGD\).

Answer:

\(\angle EGD\)