Answer:
(a) The two triangles are similar by AA
Explanation:
Similar triangles have congruent corresponding angles and proportional corresponding side lengths.
Third angle
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.