# Pre-RMO -bash 1

Geometry Level 4

The circle ω touches the circle Ω internally at P. The centre O of Ω is outside ω. Let XY be a diameter of Ω which is also tangent to ω. Assume P Y > P X. Let P Y intersect ω at Z. If Y Z = 2P Z ,what is the magnitude of ∠P Y X in degrees?

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