Triangle Length Relationships in Geometry

Very Hard Problem Solving Geometry

In triangle ABC, the length of side AB is $x$ units, side AC is $y$ units, and angle A measures 120 degrees.

Statement (1): The length of side BC is equal to $10$ units.

Statement (2): The length of side AC is $12$ units.

What can be determined about the relationship between $x$ and $y$?

Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

Statement (2) alone is sufficient, but statement (1) alone is not sufficient.

Both statements (1) and (2) together are sufficient, but neither statement alone is sufficient.

Each statement alone is sufficient.

Statements (1) and (2) together are not sufficient.

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