
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
Consider an isosceles triangle $ABC$ where $CA = CB = 15$ inches and $AB = 24$ inches. A circle with radius $15$ inches has its center at $C$ and passes through vertices $A$ and $B$. Extend $AB$ through $B$ to intersect the circle at point $E$. Determine the number of degrees in angle $AEC$.

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