
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In triangle $XYZ$, the sides $x$, $y$, and $z$ satisfy $x + 3y + 4z = x^2$ and $x + 3y - 4z = -7$. Find the largest angle of the triangle, in degrees.

Note: $x$ is the side length opposite $\angle X$, etc.

Present the answer in LaTex format: \boxed{Your answer}
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