1. The problem involves two large circles touching at a point, with polygons inscribed inside them and some known angles given as 79° and 84°. 2. We are asked to find and mark 5 unknown angles in the figure, along with the known angles. 3. Since the user requests a picture with marked angles, this requires a geometric diagram which cannot be generated as text or LaTeX alone. 4. However, I can identify the unknown angles based on the given information and explain how to find them. 5. Typically, angles in polygons inscribed in circles relate to arcs and other angles by the inscribed angle theorem. 6. The known angles 79° and 84° can help find adjacent unknown angles by using angle sum properties in triangles and quadrilaterals. 7. Without the exact figure or coordinates, I cannot generate a precise picture or mark angles exactly. 8. For visualization, I recommend using a geometry software like GeoGebra or Desmos to draw the circles and polygons, then mark the known and unknown angles. 9. If you provide coordinates or a more detailed description, I can help calculate the unknown angles step-by-step. 10. For now, I can only confirm that the 5 unknown angles are those adjacent or supplementary to the known 79° and 84° angles inside the polygons.