
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
Determine the measure of angle $Q$ in the hexagon below:

[asy]
size (5cm,5cm);
pair A,B,C,D,E,F;

A=(0,1);
B=(4,0);
C=(6.5,1.5);
D=(5.5,4);
E=(3,5.5);
F=(0.5,3.5);

draw (A--B--C--D--E--F--A,linewidth(1));

label("$Q$", A, SW);
label("$150^\circ$", B, S);
label("$110^\circ$", C, E);
label("$120^\circ$", D, NE);
label("$130^\circ$", E, N);
label("$100^\circ$", F, W);
draw(anglemark(B,A,F),blue);

[/asy]

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