Understanding congruent angles and their key theorems

Two congruent angles are angles that have the same measure. They can be found in everyday objects, like the corners of squares or rectangles. The symbol for congruent angles is "≅." Several key theorems help identify congruent angles. The Vertical Angles Theorem states that angles opposite each other when two lines intersect are equal. The Corresponding Angles Theorem applies when two parallel lines are crossed by a third line, making certain angles equal. Other important theorems include the Alternate Angles Theorem, which deals with angles on opposite corners of a transversal, and the Congruent Supplements and Complements Theorems, which relate to angles that add up to 180 degrees or are complementary.