The correct answer is C. ∠HGF.
1. Analyze the angle ∠c:
The angle ∠c has vertex . The two rays that form this angle start from and pass through and .
2. Evaluate each option:
A: In standard angle - naming, we don't include the angle label () within the three - letter name. So this is incorrect.
B: The vertex of this angle is , not , so it is not the correct name for ∠c.
C: Here, the vertex is