Respuesta :

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]

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