Yes, if you are truly renting to him, you will take depreciation on the room and any other assets (property) you rent to him, such as a bed if you supply that.
If fact, the IRS REQUIRES you to take the depreciation.
As stated in the answers above, the depreciation on the room is figured on the value of the home, portioned by the amount of space the room is compared to the total size of the house.
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