
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 $ABCD$ be a kite with $AB = AD$ and $BC = CD$. Side $AD$ is extended through $D$ and side $BC$ is extended through $C$ to meet at point $E$. Let $m$ be the sum of angles $CDE$ and $DCE$, and $m'$ be the sum of angles $BAD$ and $ABC$. Determine the value of $t = m/m'$.

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