Given:
Measure of angle E = 55 degrees
Let's find the measure of the arc FG.
To find the measure of arc FG, apply the angle-arc relationship.
The measure of an inscribed angle is half the measure of its intercepted arc.
We have the formula:
[tex]\text{m}\angle E=\frac{1}{2}\ast\text{mFG}[/tex]
To find the measure of arc FG, we have:
[tex]\begin{gathered} \text{mFG}=2\ast55 \\ \\ \text{mFG}=110\degree \end{gathered}[/tex]
Therefore, the measure of arc FG is 110 degrees.
ANSWER:
110°
