AA similarity
Theorem: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.
Proof
Let ABC and DEF be two triangles such that and . The sum interior angles of a triangle is equal to 180. Therefore, , and . We can write the equation: , acknowledging the fact that and . To conclude, by subtracting by both equations, we get . Since the three angles are congruent, the two triangles are similar.
See also
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