
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
Given a triangle with one angle equal to $120^{\circ}$, it is known that the triangle can be divided into two isosceles triangles.

What could be the measures of the other two angles of the original triangle?

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