Les Scoistes' fate could have been sealed on Friday night during Strasbourg's clash with Lyon, but Les Gones' 2-1 win kept their fleeting hopes of survival alive that little bit longer.
However, sitting 18 points behind Strasbourg and Nantes in 20th place with six games left to play, Angers would have needed to embark on a miraculous winning streak and enjoy a huge swing in goal difference to somehow retain their top-flight status.
Alexandre Dujeux's took the first step towards doing so against Rennes as Nabil Bentaleb opened the scoring from the spot in the 19th minute, but Amine Gouiri equalised for the hosts just six minutes later.
An own goal from Cedric Hountondji preceded an Ibrahima Niane strike during an entertaining first half, but a brace from Jeremy Doku after the break consigned Angers to their fate.
Les Scoistes - who cannot finish any higher than 18th - have gleaned just 14 points from their 33 games this season as they prepare to wave goodbye to Ligue 1 after an eight-year stay, having been promoted from Ligue 2 in the 2014-15 campaign.
Bayern Munich 
FC Augsburg 
Paris Saint Germain 
Toulouse 
CSKA Moscow 
FC Rostov 
Leicester 
Chelsea 
Valencia 
Betis 
Dynamo Kyiv 
Chornomorets Odesa 
Verona 
Inter 
Bayer Leverkusen 
FC Heidenheim 
Borussia Dortmund 
SC Freiburg 
VFL Wolfsburg 
Union Berlin 
Arsenal 
Nottingham Forest 
Everton 
Brentford 
Spartak Moscow 
Lokomotiv Moscow 
Rangers 
Dundee Utd 
Atletico Madrid 
Alaves 
Lens 
Marseille 
Ingulets Petrove 
Shakhtar Donetsk 
AC Milan 
Juventus 
ST Malo 
Bordeaux 
Manchester City 
Tottenham 
Eintracht Frankfurt 
Werder Bremen 
Girona 
Espanyol 
Feyenoord 
Heerenveen 
ST Etienne 
Montpellier 
Grenoble Foot 38 
Heart Of Midlothian 
Celtic 
Reims 
Lyon 
PSV 
Groningen 
Celta Vigo 
Barcelona 
Benfica 
Estrela Da Amadora