
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
The magnitude of the angle between the lateral edge of a regular quadrilateral pyramid and the plane of the base is equal to the magnitude of the planar angle at the apex of the pyramid. Find the angle between the lateral face and the plane of the base.

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