
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 convex hexagon $ABCDEF$, angles $A$, $B$, and $C$ are congruent, angles $D$ and $E$ are congruent, and angle $D$ is $30^\circ$ more than angle $A$. If the measure of angle $F$ is $20^\circ$ less than the measure of angle $D$, find the measure of angle $D$.

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