Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.
We know that the sum of angles of a triangle is always. In ΔXYZ,
[tex]\angle A + \angle B + \angle C=180^0[/tex]
[tex]35^0+\angle Y+47^0=180^0[/tex]
[tex]\angle y=98^0[/tex]
In both triangles, it is noticed that the sides AC and XZ are equal. In given triangles [tex]\angle A=\angle X=35^0[/tex]and.[tex]\angle B = \angle Y =98^0[/tex]
By the AAS rule of congruence, ΔABC and ΔXYZ are congruent triangles, therefore we can transform ΔABC to ΔXYZ. For the transformation of ΔABC to ΔXYZ translate the vertex having the same angle and rotate the triangle to align the sides and angles.
Since vertex X and vertex A have the same angle, therefore we translate vertex X to vertex A and rotate ΔXYZ to align the sides and angles.
Hence the correct option is d.
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