
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 revised diagram, $EF$ and $GH$ are straight lines. In the new setup:
- $\angle VEK = 70^\circ$
- $\angle KEW = 40^\circ$
- $\angle EVG = 110^\circ$

What is the value of $\theta?$ [asy]
draw((0,0)--(12,0)); // GH
draw((0,5)--(12,5)); // EF
draw((4,0)--(5,5)--(8,0)); // Lines intersecting from GH to EF at point K
label("$70^\circ$",(5,4.5),W); 
label("$40^\circ$",(5.5,4.5),E);
label("$E$",(0,5),W);
label("$G$",(0,0),W);
label("$F$",(12,5),E);
label("$H$",(12,0),E);
label("$110^\circ$",(4,0),NW);
label("$\theta^\circ$",(7.5,0),N); // Variable theta angle
[/asy]

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