Think about what you asked. If the relay is connected to the +5V, how does the other end get to ground? (It has to go through the Arduino). You are then asking the Arduino to "sink" 85mA.
The 2N2222 is adequate to handle 85mA. You connect the COLLECTOR to the relay pin, the EMITTER to ground, and the BASE to your Arduino output through a 1K resistor. That limits the Arduino pin to 5mA.
Most solid state relays are designed to work from logic pins. The one I cited needs only 2mA to "trigger" as stated in the data sheet.