To determine which similarity criterion proves that two triangles are similar, we need to identify the given angles and sides.
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AA (Angle-Angle Similarity): This criterion states that if two triangles have two angles equal, then the triangles are similar.
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SAS (Side-Angle-Side Similarity): This criterion indicates that if two triangles have one angle equal and the lengths of the sides including this angle are in proportion, then the triangles are similar.
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AAS (Angle-Angle-Side Similarity): This criterion states that if two triangles have two angles equal and a corresponding side, then the triangles are similar.
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SSS (Side-Side-Side Similarity): This criterion states that if the lengths of all three sides of one triangle are proportional to the lengths of the three sides of another triangle, then the triangles are similar.
Without the actual measurements or specific angle details present, if we assume we can identify two angles from the triangles, we would likely use the AA (Angle-Angle) criterion.
So, the answer is AA~.