Geometry

The answer is B. MN = 11, LN = 19.

1. Recall the segment - addition postulate:

The segment - addition postulate states that if we have three collinear points , , and , then .

From the figure, we know that the length of the segment  is .

2. Analyze each option:

A: If  and , then by the segment - addition postulate . Substituting the values, we get , which is . So, option A is incorrect.

B: If  and , then by the segment - addition postulate . Substituting the values, . This option satisfies the segment - addition postulate.

C: If

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