Geometry

The answer is A. KL = 15, JL = 27.

1. Recall the segment - addition postulate:

For three collinear points , , and , the segment - addition postulate states that .

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 have . This option satisfies the segment - addition postulate.

B:If  and , then

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