
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 \( \triangle ABC \), side \( a = 2 \), side \( b = 1 \), and side \( c > 2\sqrt{2} \). Let \( x \) be the smallest angle measure, in degrees, such that the angle opposite side \( c \), \( \angle C \), is less than \( x \). Determine \( x \).
A) \(130^\circ\)  
B) \(135^\circ\)  
C) \(140^\circ\)  
D) \(145^\circ\)  
E) \(150^\circ\)

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