Answer:
p = 49
Explanation:
The markings tell you that W and Z are midpoints of VX and VY, respectively. This means the scale factor of similar triangles VWZ and VXY is 1 : 2. For the segments of interest, their ratio is ...
WZ/XY = 1/2
2(WZ) = XY . . . . multiply by 2
2p = p+49 . . . . . substitute given values
p = 49 . . . . . . . . subtract p from both sides