Geometry

The answer is B. YZ = 8, XZ = 13.

1. Recall the segment - addition postulate:

The segment - addition postulate states that if  is a point on , then .

From the figure, we know that .

2. Analyze each option:

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

B: If  and , then using the segment - addition postulate . Substituting  and

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