<PRE><B>Question 1210569</B>
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In rectangle $EFGH$, let $M$ be the midpoint of $\overline{EF}$, and let $X$ be a point such that $MH = MX$, as shown below.  
If $\angle EMH = 19^\circ$ and $\angle MEG = 44^\circ,$ then find $\angle GEH,$ in degrees.
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How far below is shown what is promised to be shown below ?



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