The image shows a kite with the vertices labeled L, M, N, and O, and we are tasked with solving for the value of $x$, which is likely the angle at point P.

In a kite, the diagonals intersect at right angles, so angle $\angle P$ should be $90^\circ$, and the two adjacent angles at the intersection of the diagonals are congruent. This fact can be used to set up an equation based on the relationship of the angles at point P.

However, to provide a more specific solution, I will need any given angle measures or additional information from the problem that might be written near the diagram or in the context. Could you provide that, or confirm if there are any known angle measures in the image?

Would you like more details on kites and the properties of diagonals?