The segment CD is tangent to the green circle c, ending on the orange circle d, which also contains the foot of the perpendicular line from C to the diameter of c which extends to D. What is the angle between the two circles?
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Solution
The angle α is 90°.
AB:AC=AC:AD,
AB×AD=AC^2=AE^2
AE is tangent to the orange circle d (because of Power of point A wrt d)
α=90°