I assume the 38º measurement refers to the measure of arc BE. Then
[tex]37^\circ=\dfrac{m\widehat{AJ}-38^\circ}2\implies m\widehat{AJ}=112^\circ[/tex]
and so
[tex]32^\circ=\dfrac{112^\circ-m\widehat{FH}}2\implies m\widehat{FH}=\boxed{48^\circ}[/tex]
(I think the theorem I used here is called "angle of intersecting secants")
