
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 congruent circles centered at points $A$ and $B$ each pass through the other circle's center. A line perpendicular to the line containing both $A$ and $B$ is drawn from the midpoint of $AB$, intersecting the circles at points $C$ and $D$. The circles intersect at two points, one of which is $E$. Determine the degree measure of $\angle CED$.
**A) 45**
**B) 90**
**C) 135**
**D) 180**

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