
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
Two circles centered at points $A$ and $B$ intersect each other at points $E$ and $F$. Circle with center $A$ has a radius twice that of the circle centered at $B$. The line containing both $A$ and $B$ is extended to intersect the larger circle at points $C$ and the smaller circle at $D$. If $\angle AEB = 90^\circ$, determine the degree measure of $\angle CED$.

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