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Found problems: 1

2022 Bundeswettbewerb Mathematik, 3
Tags: curvilinear incircles , angle bisector , geometry , tangent circle , tangent
A circle $k$ touches a larger circle $K$ from inside in a point $P$. Let $Q$ be point on $k$ different from $P$. The line tangent to $k$ at $Q$ intersects $K$ in $A$ and $B$. Show that the line $PQ$ bisects $\angle APB$.