Final answer:
The Anthony Shaffer play that begins in Andrew Wyke's manor house is 'Sleuth', a two-man mystery thriller with a setting crucial for its suspenseful atmosphere.
Step-by-step explanation:
The Anthony Shaffer play that opens in the living room of Andrew Wyke's Norman manor house is Sleuth.
This play is a classic example of a mystery thriller, and it is well known for its intricate plot and the dynamic between the two main characters.
The setting in Wyke's luxurious and elaborate house plays a crucial role in creating the suspenseful atmosphere that's inherent to the genre.
Sleuth is not only an entertaining play but also a study of the complexities of human relationships and deception.