There may be more to this.
Owner was renting to a relative so depreciation allowed or allowable may come into basis calculations. Was this considered? One has to question whether the rental was at fair value, because every day of rental to relative at less than FMV is considered personal use. If less than FMV, how much depreciation was allowed or allowable? If at FMV, then depreciation will factor into the calculations. So, was this taken into consideration to arrive at the $120,000 of basis, and is there really a loss? Has depreciation recapture been considered? I doubt this will turn into a gain because the selling expenses weren't discussed, but if there is a gain, that gain will be taxed at ordinary rates because the sale is to a related party.
Regarding a loss, Sara is correct. Sec 1015(a) is where the tax code places a limitation on the gifted basis so that a loss cannot be transferred by gift from donor to donee, and no one can ever deduct that portion of a loss. If and when the recipient disposes of the property and does incur a loss using the lower basis under the dual basis rule, the loss is limited to the the amount of loss beyond the reduced (dual) basis for computing the loss. In other words, the recipient would never get the benefit of the decline in value from the original donor's cost to its lower FMV at the time of the gift, but CAN take loss beyond that once in his or her ownership.