Geometry

The answer is B. LM = 6, MN = 8.

1. Recall the segment - addition postulate:

For three collinear points , , and , the segment - addition postulate states that . From the figure, we know that .

2. Analyze each option:

A: If  and , then . So, this option is incorrect.

B: If  and , then , which satisfies the segment - addition postulate since

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