The problem asks us to identify which of the given arcs is a minor arc from the given circle. A minor arc is an arc that is less than half the circle (i.e., less than 180 degrees).

1. Problem Description

The problem asks us to identify which of the given arcs is a minor arc from the given circle. A minor arc is an arc that is less than half the circle (i.e., less than 180 degrees).

2. Solution Steps

We need to examine each of the given arcs and determine if it is a minor arc.

* Arc BG: From the diagram, it appears that arc BG is less than half the circle. So, it could be a minor arc.

* Arc BDC: From the diagram, it appears that arc BDC is more than half the circle. So, it is a major arc.

* Arc BCD: From the diagram, it appears that arc BCD is more than half the circle. So, it is a major arc.

* Arc BAC: The central angle $\angle BHC$ is given by $76^{\circ}$.

The remaining angle is $360^{\circ} - 76^{\circ} = 284^{\circ}$.

Thus, the arc $BC$ has a central angle of $76^{\circ}$.

The arc $BAC$ has a central angle of $284^{\circ}$.

The arc $BAC$ is more than half the circle. So, it is a major arc.

Since arc BG is visually less than half the circle, it is likely the minor arc.

3. Final Answer

Arc BG