
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
Consider the rectangle $ABCD$ and a point $E$ that is not in its plane. Let the planes $ABE$ and $CDE$ intersect along the line $l$, and the planes $BCE$ and $ADE$ intersect along the line $p$. Find the angle between the lines $l$ and $p$.

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