
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
Given $\angle1+\angle2=180^\circ$ and $\angle3=\angle4,$ find $\angle4.$ Express your answer in degrees. In a configuration:
- $\angle A = 80^\circ$ and $\angle B = 50^\circ$ are angles of the first triangle.
- The quadrilateral uses $\angle 1$ and $\angle 2$ as adjacent angles.
Use the geometry diagram provided initially, replacing the respective angle values for your calculations.

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