Step 1: Identify the complex ion, which is [Ag(NH3)2]+.
Step 2: Determine the central metal ion, which is silver (Ag).
Step 3: Count the number of ligands attached to the central metal ion. In this case, there are 2 ammonia (NH3) ligands.
Step 4: Understand the concept of coordination number, which is the number of ligands bonded to the central metal ion. Here, the coordination number is 2.
Step 5: Refer to the geometry associated with a coordination number of 2. This typically results in a linear geometry.
Step 6: Conclude that the geometry of [Ag(NH3)2]+ is linear.
