Menzies first played darts on the BDO circuit in 2006, playing in the Gibraltar Open. However, he did not emerge to prominence until 2016 where he won the British Open. He played in the 2016 World Masters but lost to Irish darts player John O'Shea in the last 80. In 2017 he became the first Scottish player to win the Scottish Open since Gary Anderson 10 years before. He qualified for the 2017 BDO World Trophy through the regional qualifiers. He reached the semi-finals of the 2017 World Masters before losing to eventual champion Krzysztof Ratajski.
Menzies is a goalkeeper for senior footballing side Lugar Boswell Thistle.[6] As of 2022, Menzies lives in Milton Keynes with his girlfriend, and fellow darts player, Fallon Sherrock where he works as a plumber.[7]