
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
Given that $\angle A = 30^\circ$ and $\angle AFG = \angle AGF$, calculate the sum of $\angle B + \angle D$ in the pentagon shown. Assume that $\angle BFD + \angle AFG = 180^\circ$, and that $\angle AFG + \angle AGF + \angle GAF = 180^\circ$ as in a triangle.

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