
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
Lines $m$ and $n$ are parallel, and the measure of $\angle 1$ is $\frac{1}{6}$ the measure of $\angle 2$. If $\angle 3$ is equal in measure to $\angle 1$, and $\angle 2$ and $\angle 4$ form a straight line, what is the degree measure of $\angle 5$?

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