
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 $PQR$, we have $\angle PRQ = \angle PQR$ and $\angle QPR = 24^\circ$. If $\overline{QS}$ bisects $\angle PQR$, determine the measure of $\angle PSR$.
[asy]
/* New problem based on modification */
draw((0,0)--(1,1.75)--(2,0)--cycle);
draw((2,0)--(0.4,.85));
label("$S$", (0.4,.85), W);
label("$P$", (0,0), SW);
label("$R$", (2,0), SE);
label("$Q$", (1,1.75), N);
[/asy]

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