Question 91
The sides $AB$ and $CD$ of the trapezoid $ABCD$ ($BC \parallel AD$) are the diameters of the circles $\Gamma_{AB}$ and $\Gamma_{CD}$. $\Gamma_{AB}$ meets the segments $AC$ and $BD$ at points $M$ and $N$, respectively. $\Gamma_{CD}$ meets the segments $AC$ and $BD$ at points $K$ and $L$, respectively.
Prove that $NK \parallel ML$.
Prove that $NK \parallel ML$.