
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 pentagon $ABCDE$, angle $A$ and angle $D$ are related such that $\angle D$ is 30 degrees more than $\angle A$, and $\angle E$ is 50 degrees more than $\angle A$. Angles $B$ and $C$ are equal. If the measure of angle $A$ is 45 degrees less than the measure of angle $B$, what is the measure of angle $D$?

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