Final answer:
The question asks for the number of sides on each of two congruent regular polygons joined together, but without further context, we cannot provide an exact answer. We would need additional information about how the polygons are joined or specific measurements relating to their angles or sides.
Step-by-step explanation:
The question asks us to work out the number of sides on each of two congruent regular polygons that are joined together. The relevant information needed to directly answer this question is not provided in the references given. Therefore, we can only assume that the information about the polygons should come from the question itself or from general knowledge about polygons.
Congruent regular polygons have all sides and all angles equal. If two of these polygons are joined together, the sum of their interior angles combined must be an even multiple of the interior angle of one polygon. The formula for the sum of interior angles of a polygon is (n - 2) × 180°, where n is the number of sides of the polygon.
However, without additional information on how the polygons are joined, such as whether they share a side or just a vertex, or about the specific angle between them, we cannot determine the exact number of sides each polygon has. In general, to solve a problem involving the interior angles or number of sides of a polygon, one would apply the aforementioned formula and potentially use additional geometric properties or theorems depending on the context provided.