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natali 33 [55]
3 years ago
10

Two congruent circles centered at points A and B each pass through the other circle's

Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

  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°

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