It doesn't, of course. Sola Scriptura is the cornerstone of protestantism; take it away (for it is false), and the whole edifice collapses.
No, this is our cornerstone, taught to us, surprise! in the ... Bible
Mathew 21:42, Mark 12:10, Luke 20:17, Acts 4:11, Ephesians 2:20, 1 Peter 2:6, and 7