2016 AMC 8 Problems/Problem 23

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23. Two congruent circles centered at points $A$ and $B$ each pass through the other circle's center. The line containing both $A$ and $B$ is extended to intersect the circles at points $C$ and $D$. The circles intersect at two points, one of which is $E$. What is the degree measure of $\angle CED$?

$(A)\mbox{ }90\mbox{           }(B)\mbox{ }105\mbox{           }(C)\mbox{ }120\mbox{           }(D)\mbox{ }135\mbox{           }(E)\mbox{ }150\mbox{           }$

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