MathDB
Putnam 1965 A1

Source:

June 5, 2008
Putnamcollege contests

Problem Statement

Let ABC ABC be a triangle with angle A< A < angle C<90āˆ˜< C < 90^\circ < angle B B. Consider the bisectors of the external angles at A A and B B, each measured from the vertex to the opposoite side (extended). Suppose both of these line-segments are equal to AB AB. Compute the angle A A.
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