Final answer:
In the given triangles, ∆ ABC and ∆ XYZ, the length of BX can be found by subtracting the lengths of one side of each triangle.
Step-by-step explanation:
In the given question, we have two triangles, ∆ ABC and ∆ XYZ. We need to find the length of BX. Let's look at the options:
a) AB + XY: This option adds the lengths of two sides of the triangles, which is not equal to the length of BX. So, this option is incorrect.
b) BC - YZ: This option subtracts the lengths of two sides of the triangles, which is also not equal to the length of BX. So, this option is incorrect.
c) AC - XZ: This option subtracts the lengths of one side of each triangle, which indeed gives us the length of BX. So, this option is correct.
d) BC + XZ: This option adds the lengths of one side of each triangle, which is not equal to the length of BX. So, this option is incorrect.
Therefore, the correct answer is c) AC - XZ.