Final answer:
The factors that can affect the segment inset are the length of the segment and the measures of the angles formed by the segment and the adjacent sides.
Step-by-step explanation:
The factors that can affect the segment inset are the length of the segment and the measures of the angles formed by the segment and the adjacent sides. The segment inset is the distance between the endpoint of the segment and the vertex of the angle formed by the adjacent sides. When the segment is longer, the inset will be larger. Similarly, when the angle formed is larger, the inset will be smaller.