
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 the diagram, $TUV$ is a straight line. What is the measure of $\angle TVW,$ in degrees? [asy]
pair T=(0,0);
pair U=(1.5,0);
pair V=(2.5,0);
pair W=(1,1.2);

draw(W--T--U--V--W--U);

label("$T$",T,S);
label("$U$",U,S);
label("$V$",V,S);
label("$W$",W,N);

label("$60^\circ$",T+(.15,.05),NE);
label("$75^\circ$",W-(.02,.18),S);
label("$30^\circ$",V+(-.35,.05),NW);

[/asy]

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