Lines KM and EL intersect inside the circle at point N. This point is not at the center of the said circle.
The relationship between the measure of an angle that is inside the circle and the intercepted arcs is the following.
The measure of the angle ∠N is half the sum of the intercepted arcs ML and KE
We know the measured of the arcs, so we can determine ∠N as follows:
The measure of the angle is ∠N=62º