Who among the following has written the play Angels in America?

The correct option is Tony Kushner.

Angels in America: A Gay Fantasia on National Themes is a complex, two-part play written by the American playwright Tony Kushner. It is a landmark work in contemporary American theater that addresses the AIDS epidemic, homosexuality, and political conservatism in the United States during the 1980s.

Here is a brief breakdown of the playwrights mentioned in the options to help distinguish them:
1. Tony Kushner: Wrote the critically acclaimed play Angels in America, which is split into two parts: Millennium Approaches (premiered in 1991) and Perestroika (premiered in 1992). The play earned him the Pulitzer Prize for Drama.
2. David Mamet: An American playwright known for his sparse, distinct dialogue (often called "Mamet speak") in works such as Glengarry Glen Ross and Oleanna.
3. August Wilson: An American playwright best known for his "Century Cycle" (or "Pittsburgh Cycle"), a series of ten plays that documents the African American experience in the 20th century, including Fences and The Piano Lesson.
4. Sam Shepard: An American playwright and actor known for his gritty, surreal plays that explore the dark side of American family life, such as Buried Child and True West.

Therefore, the play Angels in America was written by Tony Kushner.