Problem 443: Overlapping, Intersecting Circles, Common Chord, Secant line, Tangent line, Angles
The figure shows overlapping circles O
and O' with the common chord AB and secant line CAD. Lines CE
and AF are tangent to circle O. Lines AG and DE are tangent to
circle O'. Prove that (1) angles BEC and BAG are congruent, (2)
angles BED and BAF are congruent.