Minecraft 1.8.9 (and all versions from 1.8.2) crash on startup with ArrayIndexOutOfBoundsException

Since version 1.8.2 Minecraft fails to start, due to an ArrayIndexOutOfBoundsException at org.lwjgl.opengl.LinuxDisplay.getAvailableDisplayModes(LinuxDisplay.java:951). I have attached the crash report that the launcher generated.
The last working version is 1.8.1.

Other reports exist, but have been closed by a bot as invalid due to them being reported with 1.8.8, even though the problem persists in 1.8.9.