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This was my answer:
The Angle-Angle Similarity Postulate states that two triangles must have congruent angles before they can be said to be similar triangles.
On the triangles above, you can instantly see that they share one common angle measure: 41 degrees.
To find the missing measurements for each triangle, you would add the known measurements together and minus that total from 180 degrees, the size all triangles must maintain.
So, for the smaller triangle: 41 + 83 = 124
180 - 124 = 56 (56 is the measurement from the other triangle, which fits correctly)
For the larger triangle: 41 + 56 = 97
180 - 97 = 83 (83 is also the other measurement from the other triangle, which also fits correctly.)
So, we have just found that this triangle is similar according to the AA Postulate. It has not only two pairs of angles that are congruent, but three. It clearly passes the test of this postulate.