15. Given the diagram, find angles KNM, NKM, and KMN.

Analysis of the Diagram:

• The diagram shows a triangle KNP with a point S on side KN and a point M on side KP.
• Angle KSM is given as 108 degrees.
• Triangle KNS appears to be a right-angled triangle at N.
• There are angle bisectors indicated at K, but their specific measures are not given.
• There are markings on KP and KM suggesting a relationship, possibly equal lengths or angles, but it's unclear without further context or clearer markings.
• The question asks for angles KNM, NKM, and KMN.

Conclusion: Without additional information or clearer markings on the diagram, it is impossible to determine the specific angle measures requested. The given information (angle KSM = 108 degrees and the right angle at N) is insufficient to solve for all the required angles. Additional properties of the triangles or specific angle/side relationships are needed.