
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
Lines \( PS \), \( QT \), and \( RU \) intersect at a common point \( O \). \( P \) is joined to \( Q \), \( R \) to \( S \), and \( T \) to \( U \), to form triangles. Calculate the sum of the measures of angles \( P \), \( Q \), \( R \), \( S \), \( T \), and \( U \).

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