
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
The exterior angles of triangle \(ABC\) at vertices \(A\) and \(C\) are \(115^\circ\) and \(140^\circ\). A line parallel to line \(AC\) intersects sides \(AB\) and \(AC\) at points \(M\) and \(N\).

Find the angles of triangle \(BMN\).

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