# 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 $$\angle MYZ$$.

×