in dxy2,y=29.8,2=51.4,x=19.6cm.solve the triangle completely

Answer 1

I will guess that "dxy2" means ∆XYZ, but you sure don't make things easy.
z^2 = x^2 + y^2 - 2xy cosZ = 19.6^2 + 29.8^2 - 2*19.6*29.8 cos51.4°
z = 23.3

sinX/x = sinZ/z
sinX = 19.6/23.3 sin51.4°
X = 41.1°
Z = 180-51.4-41.1 = 87.5°

Answer 2

Good