
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
Parallelogram  $ABCD$  is such that angle  $B < 90$  and  $AB<BC$ . Points E and F are on the circumference of  $\omega$  inscribing triangle ABC, such that tangents to  $\omega$  in those points pass through D. If  $\angle EDA= \angle{FDC}$ , find  $\angle{ABC}$ .


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