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The figure shows a
square ABCD with center O. It contains arcs AEFC, BFD, and BED
drawn with centers at D, A and C, respectively. Lines CE and FD
meet at G. Prove that the measure of angle DOG is 120 degrees.
Dynamic Geometry of Problem 464
Interactive construction created with
GeoGebra by
Tim Brzezinski
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Problem 464: Square, Center, Arc, Angle, 120
Degrees