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2016 AMC 8 Question 23

AMC8 · 2016 AMC 8

Question 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 $\angle CED?$
  1. $ 90 $
  2. $ 105 $
  3. $ 120 $
  4. $ 135 $
  5. $ 150 $