
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
Please choose one of the following two sub-questions to answer. If multiple choices are made, the score will be based on the first chosen question.

$(①)$ The sum of the internal angles of a regular hexagon is $ $ degrees.

$(②)$ Xiaohua saw a building with a height of $(137)$ meters at its signboard. From the same horizontal plane at point $B$, he measured the angle of elevation to the top of the building $A$ to be $30^{\circ}$. The distance from point $B$ to the building is $ $ meters (rounded to the nearest whole number, and ignore the measuring instrument error, $\sqrt{3} \approx 1.732$).

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