A geometry problem by Anish Roy

Geometry Level 3

In the figure above the smaller circle touches the bigger circle at point \(P\). \(XY\) is the diameter of bigger circle which is tangent to the smaller circle at point \(M\). If \(O\) is the center of the bigger circle and it is being given that \(YZ= 2PZ\), then find the measure of \(\angle MYZ\).

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