Respuesta :

Using the basic proportionality theorem,

[tex]\begin{gathered} \frac{GL}{LK}=\frac{GH}{HJ} \\ \frac{2}{12}=\frac{GH}{66} \\ GH=\frac{2\times66}{12} \\ GH=11 \end{gathered}[/tex]

The value of GJ can be determined as,

[tex]\begin{gathered} GJ=GH+HJ \\ =11+66 \\ =77 \end{gathered}[/tex]

Thus, the value of GJ is 77.

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