If you randomly pointed a pencil at a map of Angus, the chances are that it would land in the middle of a golf course; there are just so many. There are three golf courses just outside Alyth, and then in the other direction there is the Kirriemuir course as well.
The best place to go for information about playing golf in the area is the Alyth Golf Desk, which will even book you in to some courses.
You don't need to go much farther to find more famous golf courses either, St. Andrews and Carnoustie being but two.
However, as Fife is the area in which golf was invented, playing on courses slightly farther from Angus may incur a cost.
Bed and Breakfast can be arranged for parties of golfers if required.