I have seen this postcard somewhere before.Might have been a post on the old forum about the statue on top. It's on the isle of Thanet ,think it was a Theatre at Ramsgate.
Confirmed after Googling Margate and Ramsgate theatres and cinemas .Found this.
George Sanger built Sanger’s Amphitheatre on this site in 1883. The architect was the borough surveyor, Albert Latham. It was a circus building but used also from its early years for opera and drama. In 1908 Frank Matcham carried out a major conversion to a theatre, known thereafter as the Royal Palace. Films were shown and in 1929 it was equipped for talking pictures, but it continued to be used for variety and stage plays until about 1950. It was demolished together with Sanger’s Hotel, adjoining, in 1960 and a supermarket was built on the site.