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Answer:
(a) The two triangles are similar by AA
Step-by-step explanation:
Similar triangles have congruent corresponding angles and proportional corresponding side lengths.
The third angle in triangle ABC is found using the fact that the sum of angles is 180°.
∠C = 180° -∠A -∠B
∠C = 180° -97° -46° = 37°
Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...
∠A = ∠D = 97°
∠C = ∠F = 37°
The two triangles are similar by AA.
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Additional comment
The similarity statement can be ΔABC ~ ΔDEF.