This is an erroneous statement, so we presume it is supposed to be a true/false question. It is false.
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Corresponding angles are only congruent in certain geometries. One such is where a transversal crosses parallel lines. There are a number of sets of corresponding angles in that geometry, and additional congruent angles that are not "corresponding."
Base angles in an isosceles triangle are equal, but not "corresponding." The presumption that equal angles are corresponding is FALSE.
