
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 $k$ are parallel, and a third line $m$, a transversal, intersects them at points $P$ and $Q$ respectively. $m\angle A = 110^\circ$ at point $P$ on line $l$. At point $Q$ on line $k$, there is an angle $m\angle C = 70^\circ$. Determine the measure of $m\angle B$, which is the supplement of the angle formed between line $m$ and line $k$ at point $Q$.

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