A man starts from a point x and walk 200km to y on a bearing of 50°. He then walks due to South to a point z which is 300km from x.

Present the information on a diagram
Find the bearing of x from z

Draw a diagram. In triangle XYZ,

Y = 50°
by the law of sines,
sinZ/200 = sin50°/300
Now you have angle Z, so you can get the bearing of X from Z. It's 360°-Z