Answer:
x = 98 mm
Explanation:
The angle bisector divides the triangle into proportional parts. That is ...
VY/YK = VT/KT
This means that ...
VK/YK = (VT+KT)/KT
Multiplying by YK gives ...
VK = x = YK · (VT +KT)/KT
x = (68 mm) · (57 +129.2)/129.2 = 98 mm