Yes they are. All ten angles are 54 degrees.
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no.
Two pentagons that have corresponding angles congruent. First equals the first, second equals the second and so forth.
If they have the same nuber of sides (angles) then always. If not then never. So, overall, I suppose the answer is sometimes - depending on the number of sides.
yes
Yes, the corresponding sides of two similar regular polygons must have equal lengths. This is because both the polygons are similar, which means that since they are also polygons, they must have equal lengths.