Question 14
Let $ABCDE$ be a regular pentagon with center $M$. A point $P \neq M$ is chosen on the line segment $MD$. The circumcircle of $ABP$ intersects the line segment $AE$ in $A$ and $Q$ and the line through $P$ perpendicular to $CD$ in $P$ and $R$.
*Prove that $AR$ and $QR$ are of the same length.*
*Prove that $AR$ and $QR$ are of the same length.*