
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
In trapezium \( PQRS \), \( \angle RSP = 2 \times \angle SPQ \) and \( \angle SPQ = 2 \times \angle PQR \). Also \( \angle QRS = k \times \angle PQR \). What is the value of \( k \)?  

Choices:  
A) 2  
B) 3  
C) 4  
D) 5  
E) 6

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