
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 two planes perpendicular to the same plane, determine the relationship between these planes in terms of their orientation, and in a similar manner, given two skew lines that are not perpendicular, determine the relationship between any plane passing through one line and the other line, also, given two lines perpendicular to the same plane, determine the relationship between these lines, and finally, given two planes perpendicular to the same line, determine the relationship between these planes.

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