
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 an acute isosceles triangle, the square of the length of each congruent side is equal to three times the product of the base and the height to the base. Determine the measure, in degrees, of the vertex angle of this triangle.
A) 100°
B) 120°
C) 140°
D) 150°
E) 160.52°

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