Question

Find arc fghaving trouble with this, hope you can help

Answer 1

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:

`\begin{gathered} m\angle EFG=(1)/(2)m\widehat{FG} \\ \implies118.5\degree=(1)/(2)m\widehat{FG} \end{gathered}`

Multiply both sides by 2:

`\begin{gathered} 2*118.5\degree=2*(1)/(2)m\widehat{FG} \\ m\widehat{FG}=237\degree \end{gathered}`

The measure of arc FG is 237 degrees.