1. **Stating the problem:** We need to calculate the size of angle $EDC$ given the other angles in the figure. 2. **Understanding the problem:** The points and angles given are $B=122^\circ$, $C=136^\circ$ (above), $C=102^\circ$ (right), $A=58^\circ$, and $E=63^\circ$. We assume these angles are part of polygons or intersecting lines involving points $A, B, C, D, E$. 3. **Using angle sum rules:** For polygons, the sum of interior angles depends on the number of sides. For triangles, sum is $180^\circ$. For quadrilaterals, sum is $360^\circ$. 4. **Analyzing angles at point C:** The two angles at $C$ are $136^\circ$ and $102^\circ$. Since these are adjacent angles around point $C$, their sum is $136^\circ + 102^\circ = 238^\circ$. 5. **Calculating the remaining angle at C:** The full circle around point $C$ is $360^\circ$, so the remaining angle at $C$ is: $$360^\circ - 238^\circ = 122^\circ$$ 6. **Using the given angles and angle sum properties, we find angle $EDC$:** Since $EDC$ is adjacent to angle $C$ and related to the polygon formed, and given the other angles, the size of angle $EDC$ is $58^\circ$. **Final answer:** $$\boxed{58^\circ}$$