
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
 $ABC$  be atriangle with sides  $AB=20$  ,  $AC=21$  and  $BC=29$ . Let  $D$  and  $E$  be points on the side  $BC$  such that  $BD=8$  and  $EC=9$ . Find the angle  $\angle DAE$ .

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