Question 56
Five distinct points $A$, $M$, $B$, $C$ and $D$ are on a circle $O$ in this order with $MA = MB$.
Let the lines $AC$ and $MD$ intersect at $P$, the lines $BD$ and $MC$
at $Q$. Let the line $PQ$ meet the circle $O$ at $X$ and $Y$. Prove that
$MX = MY$.
Let the lines $AC$ and $MD$ intersect at $P$, the lines $BD$ and $MC$
at $Q$. Let the line $PQ$ meet the circle $O$ at $X$ and $Y$. Prove that
$MX = MY$.