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The answer is no. When two triangles are congruent all three corresponding sides are the same and all three corresponding angles are the same. Two triangles with the same corresponding angles can have corresponding sides different so they are not congruent.
corresponding angles are angle that if u took one angle it would correspond (witch means equal) with the other angle The angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal!
When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)
Corresponding angles (also called F angles) are ang les that are the same on parallel lines (lines at the same angle next to each other) with a bisecting angle (a line that cuts through the parallel line). The lines look like a capital F and the corners of the "F" are the corresponding angles and they are the same.
A square has four angles. All of them are right angles of 90 degrees.