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?

  60°

Step-by-step explanation:

We know triangle ABC is an equilateral triangle, since all of its side measures are the radii of the circles. That means angle BAC is 60°. Likewise, angle BAD is 60°, so arc CD is 120°.

The measure of inscribed angle CED is half the measure of the intercepted arc CD, so is ...

  ∠CED = 120°/2

  ∠CED = 60°

42.4

step-by-step explanation:

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