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It has become obvious that the Shapes category was in way over its head with all sorts of geometrical problems. So, the hard-core Geometry problems will now reside here, where they will fit in much better.
Given a circle with diameter AB. Points C and D are selected on the circumference of the circle such that the chord CD intersects AB inside the circle, at point P. The ratio of the arc length AC to the arc length BD is 4:1, while the ratio of the arc length AD to the arc length BC is 3:2. Find ∠APC.
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