
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 triangle $PQR$, $\angle PQR$ is $60^\circ$, and $\overline{PS}$ bisects $\angle QPR$, while $\overline{SR}$ bisects $\angle QRP$. Point $T$ is on $\overline{QR}$ such that $\overline{ST}$ extended bisects $\angle QSR$. The measure of angle $PST$ is
A) $45^\circ$
B) $60^\circ$
C) $75^\circ$
D) $90^\circ$
E) $105^\circ$

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