
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
Solve the triangle given the perimeter and the two angles at the base. For example, $k=1 \mathrm{dm}$, $\alpha=35^{\circ} 40^{\prime} 15^{\prime \prime}$, $\beta=48^{\circ} 20^{\prime} 26^{\prime \prime}$.

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