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Find the angle

Source: VII Caucasus Olympiad, Senior, Day2 P6

March 13, 2022
geometrycircumcircle

Problem Statement

Let ABCABC be an acute triangle. Let PP be a point on the circle (ABC)(ABC), and QQ be a point on the segment ACAC such that AP⊥BCAP\perp BC and BQ⊥ACBQ\perp AC. Lot OO be the circumcenter of triangle APQAPQ. Find the angle OBCOBC.
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