The problem asks us to identify which of the given arcs is a major arc. A major arc is an arc of a circle whose measure is greater than 180 degrees.

1. Problem Description

The problem asks us to identify which of the given arcs is a major arc. A major arc is an arc of a circle whose measure is greater than 180 degrees.

2. Solution Steps

First, let's consider the given options:

- Arc ABC: The arc goes from point A to point C through point B. The angle subtended at the center by the minor arc AC is 76 degrees + (180 degrees - 76 degrees)/

2. We do not know where point A is so we cannot directly tell the measurement of this angle at the center. We can still consider that if the central angle of minor arc AC is less than 180, then arc ABC is a major arc.

- Arc GBC: The arc goes from point G to point C through point B. We are given that angle BHC is 76 degrees and it is the central angle of arc BC. Since we don't know the central angle of GC, we cannot directly know the arc GBC. If the central angle of GC is larger than 104, then the GBC is a major arc.

- Arc CEG: The arc goes from point C to point G through point E. From the diagram, it appears that this arc could be greater than 180 degrees, thus a major arc.

- Arc BCG: The arc goes from point B to point G through point C. From the diagram, it appears that this arc could be less than 180 degrees, thus a minor arc.

Consider the arcs: BC is clearly a minor arc because its central angle is given to be 76 degrees, so it's less than 180 degrees. The other portion of the circle will be a major arc.

Arc BCG appears to be less than half the circle, so it is likely a minor arc. Similarly, ABC also appears to be a minor arc.

However, CEG appears to be more than half the circle, so CEG would be a major arc.

3. Final Answer

CEG