
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
Two planes are given by their equations:

$$
\begin{aligned}
& 5x - 4y + z - 1 = 0 \\
& 10x + 2y + 4z - 7 = 0
\end{aligned}
$$

Determine the dihedral angle between these planes.

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