
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 sides of a quadrilateral are: $33 \mathrm{~m}$, $63 \mathrm{~m}$, $16 \mathrm{~m}$, $56 \mathrm{~m}$. The angle between the first and fourth side is equal to the angle between the second and third side. What are the measures of the angles, the diagonals, and the area?

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