Answer:
XY = 68
Step-by-step explanation:
U is the mid point of line VY.
So, VU = UY
VU + UY = VY
VY = 2 VU
W is the mid point of line VX
So, VW = WX
VW + WX = VX
VX = 2 VW
UW // XY
So, ∆ VUW ~ ∆ VYX
UW/ XY = VU/VY= VW/ VX
UW/ XY = VU /VY
UW/XY = VU/ 2VU
UW/XY = ½
z-57/z -23=½
2( z - 57)= z-23
2z-114 = z - 23
2z -z = 114 - 23
z = 91
XY = z - 23
Substitute z = 91
XY = 91 - 23
XY = 68
.: Ans , XY = 68
