Yes - in the case of angles or line segments, congruent means they have the same measure.
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All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
If two angles are equal in measurement then they are congruent as for example the interior angles of a square are congruent because they are all right angles.
If their measures are equal, then the two angles are congruent.
It is simply a polygon with all equal angles. It is not a regular polygon - if that is what you are looking for.