
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 a plane's first (second) trace line and the angle that this plane forms with the second (first) projection plane, find the plane's second (first) trace line, assuming that the intersection point of the given trace line with the projection axis lies outside the paper's boundary. How many solutions does this problem have?

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