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?

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°

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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?

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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?