
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 the trapezoid $ABCD$, $AB$ and $CD$ are the bases, and the diagonal $BD$ is equal in length to the leg $AD$. If $\angle DCB = 110^{\circ}$ and $\angle CBD = 30^{\circ}$, calculate the value of $\angle ADB$.

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