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Answer 1 · 2018-01-12T16:40:42

5

As long as line segments VW and SU are parallel, then triangles TVW and TSU are similar, meaning that the sides are proportional.
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Which means that:

#(TV)/(TW) = (TV + VS)/(TW + WU)#

We can plug the numbers in to the above equation, and solve for the quantity we don't know:

#14/21 = (14 + 6)/(21 + WU)#

we can cross multiply, enabling us to write:

#14(21 + WU) = 21(20)#

#294 + 14WU = 420#

#14WU = 126#

#WU = 9#

...and since we are given that WU = x + 4, then:

#x = 5#

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