Question

im not sure how to show the prove and mark the shape

Answer 1

Consider the figure below,

Since XZ bisects angle WXY,

$\angle WXZ=\angle YXZ$

Since XZ also bisects WZY,

$\angle WZX=\angle YZX$

Also the side XZ is common in both the triangles XWZ and XYZ.

From the above three data, the triangles XWZ and XYZ are concluded to be congruent following the ASA criteria (Angle-Side-Angle),

$\Delta XYZ\cong\Delta\text{XWZ}$

Hence proved.