
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 the provided diagram, there are two regular polygons. The first polygon is a regular pentagon and the second one is a regular triangle. Let vertex A be the common vertex between the pentagon and triangle, B be another vertex of the pentagon, and D be another vertex of the triangle. What is the value, in degrees, of the sum of the measures of angles $ABC$ (where C is another vertex of the pentagon) and $ABD$?

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