Question 130
In triangle $ABC$, $\angle A = 60^\circ$. Let $O$ and $H$ be the circumcenter and orthocenter of $\triangle ABC$, respectively. Take a point $M$ on segment $BH$ and a point $N$ on line $CH$ such that $H$ lies between $C$ and $N$, and $BM = CN$. Find
$$
\frac{MH + NH}{OH}
$$
$$
\frac{MH + NH}{OH}
$$