
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
Given that $ABCD$ be a convex quadrilateral where side $AB$ is extended through $B$ and side $CD$ is extended through $D$ to meet at point $E$, let angles $AEB$ and $CED$ have a degree-sum, $T$, and let $T'$ represent the degree-sum of angles $DAC$ and $BCD$. Find the possible values of $q = T / T'$.

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