Congruent angles are angles that have the same measure in degrees or radians. For example, if one angle measures 30 degrees, any angle that also measures 30 degrees is considered congruent to it. Congruent angles can be found in various geometric shapes, such as triangles and polygons, where certain angles may be equal. In geometry, congruent angles are often marked with the same number of arc marks or a specific symbol to indicate their equality. Understanding congruent angles is essential for solving problems related to triangles, parallel lines, and transversals, as they help establish relationships between different angles in a figure.