
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
Let  $P$  and  $Q$  be the midpoints of sides  $AB$  and  $BC,$  respectively, of  $\triangle ABC.$  Suppose  $\angle A = 30^{\circ}$  and  $\angle PQC = 110^{\circ}.$  Find  $\angle B$  in degrees.

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