
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
Segments $BD$ and $AE$ intersect at $C$, with $AB = BC$ and $CD = DE = EC$. Additionally, $\angle A = 4 \angle B$. Determine the degree measure of $\angle D$.
A) 45
B) 50
C) 52.5
D) 55
E) 60

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