Geometry

The answer is D. XY = 12, YZ = 76, XZ = 88.

1. First, write an equation based on the segment - addition postulate:

Since , with , , and , the equation is .

2. Then, simplify the left - hand side of the equation:

Combine like terms: , which gives .

3. Next, solve for :

Subtract from both sides: , so .

Add 44 to both sides: , then .

Divide both sides by 3: , and .

4. Now, find the length of

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