
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
Consider the ellipse $C:\frac{x^{2}}{16}+\frac{y^{2}}{12}=1$ with foci $F_{1}$ and $F_{2}$. If point $M$ lies on $C$ and satisfies $|MF_{1}|-|MF_{2}|=2$, determine the largest angle in $\triangle F_{1}MF_{2}$.

A) $90^{\circ}$
B) $105^{\circ}$
C) $120^{\circ}$
D) $150^{\circ}$

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