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Answer :

Given:

Given a parallelogram with

[tex]\begin{gathered} UV=2x+5 \\ WT=x+12 \end{gathered}[/tex]

Required:

To find the measure of UV.

Explanation:

In parallelogram

[tex]\begin{gathered} UV=WT \\ \\ 2x+5=x+12 \\ \\ 2x-x=12-5 \\ \\ x=7 \end{gathered}[/tex]

Now

[tex]\begin{gathered} UV=2x+5 \\ =2(7)+5 \\ =14+5 \\ =19 \end{gathered}[/tex]

Final Answer:

[tex]UV=19[/tex]

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