
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, what is the value of $z$?

[asy]
draw((0,0)--(20,0),black+linewidth(1));
draw((20,0)--(20,-8),black+linewidth(1));
draw((0,0)--(5,8)--(20,-8),black+linewidth(1));
draw((5,8)--(20,0),black+linewidth(1));
draw((20,0)--(20,-0.8)--(19.2,-0.8)--(19.2,0)--cycle,black+linewidth(1));
label("$70^\circ$",(5.5,7),S);
label("$50^\circ$",(1,0),NE);
label("$z^\circ$",(20.25,-7),NW);
label("$x^\circ$",(16,4),SE);
[/asy]

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