
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 $l$ and $m$ are parallel to each other. $m\angle A$ measures $100^\circ$, and $m\angle B$ measures $110^\circ$. Calculate the number of degrees in $m\angle C$, where $C$ is the angle formed by two new lines meeting at point $C$ on line $l$, one of which is also parallel to lines $l$ and $m$ and intersects line $m$ such that it and $m\angle B$ form supplementary angles.

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