find angles given O, I, G, H, not knowing which is who
Source: Sharygin 2005 VIII, IX CR 16
August 19, 2019
geometryanglesorthocenterincenterCircumcenterCentroid
Problem Statement
We took a non-equilateral acute-angled triangle and marked wonderful points in it: the centers of the inscribed and circumscribed circles, the center of gravity (the point of intersection of the medians) and the intersection point of altitudes. Then the triangle itself was erased. It turned out that it was impossible to establish which of the centers corresponds to each of the marked points. Find the angles of the triangle