**Problem Statement:**In circle \( F \) with the measure of arc \( \overset{\frown}{EG} = 56^\circ \), find \( m \angle EFG \).**Diagram Explanation:**The provided diagram illustrates a circle with a center labeled \( F \). Two points, \( E \) and \( G \), lie on the circumference of the circle, forming an arc between them that measures \( 56^\circ \). Two radii, \( FE \) and \( FG \), connect the center \( F \) to points \( E \) and \( G \), respectively. The task is to determine the measure of the angle \( EFG \).To solve this problem, note that the angle \( EFG \) is a central angle as its vertex is at the center of the circle and it intercepts the arc \( \overset{\frown}{EG} \). Hence, the measure of \( m \angle EFG \) is equal to the measure of arc \( \overset{\frown}{EG} \).Therefore, \( m \angle EFG = 56^\circ \).

Name: **Problem Statement:**In circle \( F \) with the measure of arc \( \o
Uploaded: 2024-03-20T06:46:14.000Z
Channel: Bartleby
Description: **Problem Statement:**In circle \( F \) with the measure of arc \( \overset{\frown}{EG} = 56^\circ \), find \( m \angle EFG \).**Diagram Explanation:**The provided diagram illustrates a circle with a center labeled \( F \). Two points, \( E \) and \