
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 given diagram, both polygons are regular. Consider polygon ABC with five sides and polygon ABD with eight sides. What is the value, in degrees, of the sum of the measures of angles \(ABC\) and \(ABD\)?

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