
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
A hexagon $ABCDEF$ has two interior angles, $A$ and $B$, which are $90^\circ$ and $120^\circ$ respectively. Angles $C$ and $D$ are equal, and angle $E$ exceeds twice angle $C$ by $20^\circ$. Finally, angle $F$ is $30^\circ$ less than angle $A$. Calculate the measure of angle $D$.

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