
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
Four points $P$, $Q$, $R$, and $S$ are positioned in a straight line, as displayed. Point $T$ is off the line such that $\angle PQT = 150^\circ$ and $\angle RTS = 70^\circ$. If the reflex angle at $T$ is $y^\circ$, what is the value of $y$?

[asy]
draw((0,0)--(30,0),black+linewidth(1));
draw((10,0)--(17,20)--(20,0),black+linewidth(1));
draw((17,16)..(21,20)..(17,24)..(13,20)..(14.668,16.75),black+linewidth(1));
draw((17,16)..(21,20)..(17,24)..(13,20)..(14.668,16.75),Arrows);
label("$P$",(0,0),S);
label("$Q$",(10,0),S);
label("$R$",(20,0),S);
label("$S$",(30,0),S);
label("$T$",(17,20),N);
label("$150^\circ$",(10,0),NW);
label("$70^\circ$",(20,0),NE);
label("$y^\circ$",(21,20),E);
[/asy]

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