
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
Given that \(\alpha-l-\beta\) is a dihedral angle, \(A \in \alpha\) and \(B \in \beta\), with both \(A\) and \(B\) not on \(l\). Let the angles between \(AB\) and \(\alpha\), \(\beta\) be \(\theta_{1}\) and \(\theta_{2}\) respectively. Find the range of values for \(\theta_{1} + \theta_{2}\).

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