
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 $\triangle ABC$, $\angle A = 50^\circ$, $\angle B = 40^\circ$, and $AB = 12$. Points $D$ and $E$ lie on sides $\overline{AC}$ and $\overline{AB}$, respectively, with $AD = BE = 2$. Let $P$ and $Q$ be the midpoints of segments $\overline{AB}$ and $\overline{DE}$, respectively. Determine the degree measure of the acute angle formed by lines $PQ$ and $AB$.
A) 80°
B) 85°
C) 90°
D) 95°
E) 100°

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