Question 43
Let $\omega$ be the circumcircle of isosceles triangle $ABC$ where $AB = AC$. Points $P$ and $Q$ lie on $\omega$ and $BC$ respectively such that $AP = AQ$. Lines $AP$ and $BC$ intersect at $R$. Prove that the tangents from $B$ and $C$ to the incircle of triangle $AQR$ (different from $BC$) are concurrent on $\omega$.