As the comments say, you first need to define "wide angle". My guess is that you want a camera that has a viewing angle of more than 90 degrees, but you don't want distortion to keep the walls straight. Then, the keyword you're looking for is "ultra-wide", as opposed to "fisheye" which also covers a wide angle but with strong distortion.

Indeed, a 10-whatever mm lens on an APS-C sensor body will do the trick (see https://en.wikipedia.org/wiki/Angle_of_view#Sensor_size_effects_.28.22crop_factor.22.29 for example). You probably want whatever to be large enough so that the same camera can be used to take more "normal" pictures.

You probably want reasonable low-light performance too, to get good indoors pictures without a flash, in which case an APS-C DSLR will be better than a typical point-and-shoot camera (the key element is the sensor size).

Most point-and-shoot camera won't go up to real "ultra-wide", but some of them can have a wide-angle adapter which may do the trick too.

You may want to look at hybrid cameras, which get most of the advantages of a DSLR without the mirror. Micro Four Thirds cameras may be a good fit for you.

For examples and arguments, see https://www.slrlounge.com/best-dslr-setup-real-estate-photography/