Answer:
[tex]YW=20\ units[/tex]
Step-by-step explanation:
we know that
In a parallelogram the diagonals bisect each other
The figure XYZW is a parallelogram
so
VW=VY
VX=VZ
Find the value of b
VW=VY
substitute the given values
[tex]b+8=5b[/tex]
solve for b
[tex]5b-b=8\\4b=8\\b=2[/tex]
Find the length of YW
[tex]YW=YV+VW[/tex] ----> by addition segment postulate
[tex]YW=5b+b+8[/tex]
substitute the value of b
[tex]YW=6(2)+8=20\ units[/tex]
