
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
We have a parallelogram \(ABCD (|AB| \neq |BC|)\) with an internal angle of \(72^\circ\) at vertex \(A\). From one vertex of this parallelogram, two lines are drawn that divide the parallelogram into three isosceles triangles. Determine the internal angles of these triangles.

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