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computational of angles on media in triangle

Source: Bulgaria 1985 P5

June 16, 2021
Trianglesgeometry

Problem Statement

Let PP be a point on the median CMCM of a triangle ABCABC with AC≠BCAC\ne BC and the acute angle γ\gamma at CC, such that the bisectors of ∠PAC\angle PAC and ∠PBC\angle PBC intersect at a point QQ on the median CMCM. Determine ∠APB\angle APB and ∠AQB\angle AQB.
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