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Triangle Inscribed in Circle

Source: 1988 IrMO Paper 1 Problem 3

September 28, 2017
geometry

Problem Statement

ABCABC is a triangle inscribed in a circle, and EE is the mid-point of the arc subtended by BCBC on the side remote from AA. If through EE a diameter EDED is drawn, show that the measure of the angle DEADEA is half the magnitude of the difference of the measures of the angles at BB and CC.
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