1. **Problem Statement:** Find the measures of angles $M$ and $K$ given the geometric figure or context (not provided explicitly). 2. **Assumptions and Formula:** Typically, angles $M$ and $K$ might be part of a triangle or polygon. The sum of angles in a triangle is always $180^\circ$. 3. **Step 1:** Identify the known angles or relationships involving $M$ and $K$. Since the problem does not specify, let's assume $M$ and $K$ are angles in a triangle with a third angle $N$. 4. **Step 2:** Use the angle sum property: $$M + K + N = 180^\circ$$ 5. **Step 3:** If any angle values or relationships are given (e.g., $M = 2K$), substitute and solve. Without specific values or relationships, we cannot find numeric answers. 6. **Conclusion:** To find $M$ and $K$, please provide additional information such as the figure, angle measures, or relationships between angles.