Question

what is the measure of (overset{\frown}{efg}) in (odot o) below? a. (300^{circ}) b. (60^{circ}) c. (120^{circ}) d. (240^{circ})

Explanation:

Step1: Recall circle - arc relationship

The sum of the measures of the arcs of a circle is 360°.

Step2: Identify the central - angle measure

The central angle corresponding to arc $\overset{\frown}{EG}$ is 60°.

Step3: Calculate the measure of $\overset{\frown}{EFG}$

The measure of $\overset{\frown}{EFG}=360^{\circ}-\text{measure of }\overset{\frown}{EG}$. Since the measure of $\overset{\frown}{EG}$ (which is equal to the central - angle measure of 60°), then the measure of $\overset{\frown}{EFG}=360 - 60=300^{\circ}$.

Answer:

A. 300°