Question

which arc is congruent to $overset{\frown}{eh}$? $overset{\frown}{gh}$ $overset{\frown}{fg}$ $overset{\frown}{fh}$ $overset{\frown}{ge}$

Explanation:

Step1: Recall arc - congruence rule

In a circle, two arcs are congruent if they have the same measure. The measure of an arc is equal to the measure of its central angle. The measure of $\overset{\frown}{EH}$ is $110^{\circ}$.

Step2: Find the measure of each arc

The measure of $\overset{\frown}{GH}=70^{\circ}$, the measure of $\overset{\frown}{FG} = 55^{\circ}$, the measure of $\overset{\frown}{FH}=55^{\circ}+70^{\circ}=125^{\circ}$, and the measure of $\overset{\frown}{GE}=110^{\circ}$.

Answer:

$\overset{\frown}{GE}$