
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 base of the pyramid \( ABCD \) is a right triangle \( ABC \) (\( \angle C = 90^{\circ} \)). The lateral edge \( AD \) is perpendicular to the base. Find the acute angles of the triangle \( ABC \), if \( \angle DBA = \alpha \) and \( \angle DBC = \beta \) (\( \alpha < \beta \)).

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