
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
A circle with a radius of 6 inches has its center $C$ at one vertex of a square $ABCD$ and passes through vertices $B$ and $D$. The line segment $AC$ is extended to intersect the circle at point $E$. What is the measure of angle $AEB$ in degrees?
A) 45 degrees
B) 90 degrees
C) 135 degrees
D) 180 degrees

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