Answer:
73°
Step-by-step explanation:
By the property of intersecting chords inside a circle:
[tex] 55\degree = \frac{1}{2} \times \bigg(37\degree + m\widehat{GH} \bigg) \\\\
55\degree \times 2= \bigg(37\degree + m\widehat{GH} \bigg) \\\\
110\degree = 37\degree + m\widehat{GH} \\\\
110\degree - 37\degree = m\widehat{GH} \\\\
73\degree = m\widehat{GH} \\\\
\huge \purple {\boxed {m\widehat{GH} = 73\degree}} [/tex]
