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Friday, 25 January 2013

A nice Geometry Problem


The following problem is an example of how deceptive a seemingly simple geometry problem can be. Angle chasing is not going to lead anywhere.

Problem.
Let \triangle ABC be isosceles with AB=AC and \angle BAC = 20^\circ. Point D is on side AC such that \angle DBC = 60^\circ. Point E is on side AB such that \angle ECB = 50^\circ. Find, with proof, the measure of \angle EDB.
Source: Mathematical Gazette 1922

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