
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, \( AB \) is a line segment. What is the value of \( x \)?

[asy]
draw((0,0)--(12,0),black+linewidth(1));
draw((5,0)--(5,10),black+linewidth(1));
draw((5,0)--(4.5,0)--(4.5,0.5)--(5,0.5)--cycle,black+linewidth(1));
draw((5,0)--(11,8),black+linewidth(1));
label("$A$",(0,0),W);
label("$B$",(12,0),E);
label("$x^\circ$",(6,2.5));
label("$68^\circ$",(7,1));
[/asy]

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