Answer:
237 degrees
Explanation:
In the diagram, chord FG and tangent ED meet at F.
We use the theorem below:
Arc FG is the intercepted arc, therefore:
[tex]\begin{gathered} m\angle EFG=\frac{1}{2}m\widehat{FG} \\ \implies118.5\degree=\frac{1}{2}m\widehat{FG} \end{gathered}[/tex]
Multiply both sides by 2:
[tex]\begin{gathered} 2\times118.5\degree=2\times\frac{1}{2}m\widehat{FG} \\ m\widehat{FG}=237\degree \end{gathered}[/tex]
The measure of arc FG is 237 degrees.
