The correct option is A 45∘C
According to zeroth law of thermodynamics, if two thermodynamic systems are in thermal equilbrium with a third one individually, then they are in thermal equilibrium with each other.
Accordingly, thermal equilibrium between systems is transitive relation. So, If A, B and B, C are in thermal equilbrium & temperature of A is given as 45∘C, then C must be at 45∘C temperature as well.
Thus, option (a) is the correct answer.