In a rhombus opposite internal angles are congruent. This means that
[tex]\measuredangle HEF=\measuredangle HGF=54[/tex]
Since diagonals bisect the angles of a rhombus, we have
[tex]\measuredangle JGH=\frac{\measuredangle HGF}{2}[/tex]
Therefore, the answer is
[tex]\begin{gathered} \measuredangle JGH=\frac{54}{2} \\ \measuredangle JGH=27 \end{gathered}[/tex]
that is, angle JGH measure 27 degrees.
