Because the intersection AC of the middle vertical line of the line segment CB is at point D, it can be known that BD=CD.
4-x=x- 1 solution: x=5/2.
AD=5/2,CD=3/2,BD=3/2
According to: COSA = (AB 2+AD 2-BD 2)/(2abad) = 0.8.
BC^2=AB^2+AC^2-2ABACcosA=36/5
BC=6/√5
Cos angle ACB = (AC 2+BC 2-AB 2)/(2 ABCC) = 2/√ 5.
I hope I can help you, thank you!