
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 $\triangle PQR$ with $\overline{RS}$ bisecting $\angle R$ and $PQ$ extended to $D$, such that $\angle PQD = n$ is a right angle, if $\angle PRS = r$ and $\angle QRP = q$ with $r \neq q$, then:
A) $90^\circ - q$
B) $90^\circ + q$
C) $180^\circ - q$
D) $180^\circ + q$

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