In a quadrilateral $A B C D$, bisectors of angles $A$ and $B$ intersect at $O$ such that $\angle A O B=75^{\circ}$, then write the value of $\angle C+\angle D$.
If the bisectors of two adjacent angles $A$ and $B$ of a quadrilateral $A B C D$ intersect at a point $O$ such that $\angle C+\angle D=k \angle A O B$, then find the value of $k$.