Leo G. answered 12/01/20
Electrical Engineer with Teaching/Mentoring Experience
Ignoring base currents, the current through R1 and R2 is the same, and is a function of Vcc, Vee, R1 and R2. The voltage at the base of Q1 is a function of this current, Vee and R2. Once the base voltage of Q1 is known R2 can be solved for.
Similarly, the current through R3 and R4 is the same. This current is (Vcc-be)/R4 as described in the problem. This current multiplied by R3 sets the voltage drop from the emitter of Q1 to Vee. There is an additional Vbe to get to the base of Q1. After calculating the base voltage of Q1 plug back into the equation with R2 to get the value of R2.