Final answer:
To solve for X, we set up an equation based on the given information that ray DG is the angle bisector. The equation is X = EDG + GDK.
Step-by-step explanation:
To solve for X, we need to set up an equation based on the given information. We know that ray DG is the angle bisector, which means that EDG is equal to GDK.
To set this up algebraically, we can write X = EDG + GDK. Therefore, the correct answer is option a) X = EDG + GDK.