X-Rays have no temperature, they are EM radiation, not matter.
I weep for whoever told you a collection of photons can't have a temperature in the same way a collection of particles can. Who was it? Was it... no one?
Black body radiation has a characteristic temperature just like the black body that produced it, however in the case of the photon gas [wikipedia.org] it's the Plank's Law distribution of energy in photons rather than the Maxwell?"Boltzmann distribution which describes the matter.
If there's any sloppiness in the title at all it's specifying just the X-rays when you'
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