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en.wikipedia.org/wiki/Congruence_(geometry)

AAS (Angle-Angle-Side): If two pairs of angles of two triangles are equal in measurement, and a pair of corresponding non-included sides are equal in length, then the triangles are congruent. AAS is equivalent to an ASA condition, by the fact that if any two angles are given, so is the third angle, since their sum should be ...

www.mathsisfun.com/geometry/congruent-angles.html

Congruent Angles. Congruent Angles have the same angle (in degrees or radians). That is all. Congruent Angles These angles are congruent. They don't have to point in the same direction. They don't have to be on similar sized lines. Just the same angle. Congruent - why such a funny word that basically means " equal"?

In this lesson, we'll explore the definition of a congruent angle. You'll learn how to draw a congruent angle, explore examples of congruent...

Sal proves that two angles are congruent in a really interesting triangle like figure .

www.mathopenref.com/congruentangles.html

Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent angles. Note they are pointing in different directions. If you drag any of the endpoints, the other angle will change to remain congruent with the one you are  ...