Answer:
21). WX = 10
22). VW = 22
23). WY = 20
24). VX = 32
25). WZ = 30
26). VY = 42
Step-by-step explanation:
In the figure attached,
V, W, X, Y and Z are collinear.
VZ = 52, XZ = 20 and WX = XY = YZ
21). Since XZ = 20
XY + YZ = 20
WX + WX = 20 [Since, XY = WX = YZ]
2(WX) = 20
WX = 10
22). VZ = VW + WX + XY + YZ = 52
VW + 3(YZ) = 52 [Since, WX = XY = YZ]
VW + [tex]3(\frac{XZ}{2})[/tex] = 52
VW + [tex]\frac{3}{2}\times 20[/tex] = 52
VW = 52 - 30 = 22
23). WY = WX + XY
= 2(WX)
= 20
24). VX = VW + WX
= 22 + 10
= 32
25). WZ = 3(WX)
= 30
26). VY = VZ - YZ
= 52 - 10
= 42
