UNK = 47°, UML = 23°. Find ∠MOL.

The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. Therefore, ∠MOK = 2 * ∠MNK = 2 * 47° = 94°. ∠KOL = 2 * ∠KNL = 2 * 23° = 46°. ∠MOL = ∠MOK + ∠KOL = 94° + 46° = 140°.