There are 4 chords in a circle. NK, NL, NM and KM.

C is the point in the center of the chord KM.

Also, the radius from the circle's origo O to point L is a line which passes through C and this line OL is perpendicular to chord KM.

Question:

Is chord NL always bisecting triangle KNM?

I.e., is angle KNL always = angle MNL?

Regardless of where N is on the circle? Given that all other points are fixed and it is "above" the chord KM as in the figure.

Methinks it should be, but I fail to derive it properly why it must. So help is asked!

Best regards