
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 dihedral angle with points A and B on its edge, and lines AC and BD are each in the two half-planes of the dihedral angle, with both perpendicular to AB. If AB=4, AC=6, BD=8, and CD = 2√17, find the measurement of the dihedral angle.

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