
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
Five points $P, Q, R, S,$ and $T$ are on a straight line. Point $X$ is outside this line such that $\angle PQX = 100^\circ$ and $\angle RXS = 70^\circ$. Compute the reflex angle at $X$ if designated as $y^\circ$.

[asy]
draw((0,0)--(40,0),black+linewidth(1));
draw((5,0)--(20,20)--(18,0),black+linewidth(1));
draw((20,16)..(25,20)..(20,25)..(16,20)..(19,17),black+linewidth(1));
draw((20,16)..(25,20)..(20,25)..(16,20)..(19,17),Arrows);
label("$P$",(0,0),S);
label("$Q$",(5,0),S);
label("$R$",(15,0),S);
label("$S$",(18,0),S);
label("$T$",(40,0),S);
label("$X$",(20,20),N);
label("$100^\circ$",(5,0),NW);
label("$70^\circ$",(18,0),NE);
label("$y^\circ$",(25,20),E);
[/asy]

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