
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
One of the angles formed by the intersecting lines \( a \) and \( b \) is \( 15^{\circ} \). Line \( a_{1} \) is symmetric to line \( a \) with respect to line \( b \), and line \( b_{1} \) is symmetric to line \( b \) with respect to line \( a \). Find the angles formed by lines \( a_{1} \) and \( b_{1} \).

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