
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
Find the number of degrees in the measure of angle $x$ in the following scenario:

A quadrilateral $ABCD$ is drawn such that:
- $\angle ABC$ is $120^\circ$.
- $\angle DAB$ is $30^\circ$.
- $\angle ABD$ equals $x^\circ$.
- $\angle ADB$ is $28^\circ$.

Determine the measure of $\angle ABD$.

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