Geometry

The correct answer is C.∠GFE.

 

1. Recall the naming convention of an angle:

When an angle is formed by two rays  and , the common endpoint of these two rays is the vertex of the angle. Here, the common endpoint is point , which should be in the middle when naming the angle in the three - letter format.

 

The first letter represents a point on one of the rays, the middle letter represents the vertex, and the last letter represents a point on the other ray.

 

2. Analyze each option:

A: This is just naming a point , not an angle formed by  and , so it is incorrect.

 

B: While  is the vertex of the angle, a single - letter angle name is not the long - form name. The long - form uses three letters, so this is incorrect.

 

C: Here, the vertex is , and the points  and  are on the rays  and

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