Two angles are congruent if they have the same degree of angle. For example, two 110-degree angles would be congruent even if they didn't point the same direction or had different lengths of lines. The word "congruent" comes from the Latin word "congruere," which actually means "to agree."
An angle can be categorized based on its degree of measurement. For example, an acute angle is less than 90 degrees, while a right angle is exactly 90 degrees. An obtuse angle will be more than 90 degrees but measure less than 180, while a straight angle measures 180 degrees. Any two angles that share the same degree of measurement will be congruent.