MathDB
PRMO 2015. p20.

Source:

April 9, 2024
geometrycirclesanglesTangents

Problem Statement

20.20. The circle ω\omega touches the circle Ω\Omega internally at point P.P. The centre OO of Ω\Omega is outside ω.\omega. Let XYXY be a diameter of Ω\Omega which is also tangent to ω.\omega. Assume PY>PX.PY>PX. Let PYPY intersect ω\omega at z.z. If YZ=2PZ,YZ=2PZ, what is the magnitude of ∠PYX\angle{PYX} in degrees ??
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