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Incircle, circumcircle.. one angle to compute.

Source: Tuymaada 2004, day 2, problem 2. - Author : A. Smirnov.

May 25, 2007
geometrycircumcirclegeometry proposed

Problem Statement

The incircle of triangle ABCABC touches its sides ABAB and BCBC at points PP and Q.Q. The line PQPQ meets the circumcircle of triangle ABCABC at points XX and Y.Y. Find ∠XBY\angle XBY if ∠ABC=90∘.\angle ABC = 90^\circ.
Proposed by A. Smirnov
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