
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
A quadrilateral has sides in the ratio \(a: b: c: d = 9: 8: 7: 6\). The angle between sides \(a\) and \(d\) is \(\alpha = 72^\circ 36'\), and the area of the quadrilateral is \(225 \, \text{cm}^2\). What are the lengths of the sides and the angles of the quadrilateral?

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