
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
An ancient architectural structure uses a circular arrangement of congruent isosceles trapezoids whose legs meet at a common point if extended. Consider an arch composed of 8 such trapezoids. If the base angles of each trapezoid are equal, what is the measure, in degrees, of the smaller interior angle adjacent to the longer base of one trapezoid?
A) 76.5°
B) 78.75°
C) 80°
D) 82.5°

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