A series of translations, rotations and reflections is applied to Triangle 1 to create Triangle 2 , as shown. What is the measure, in degrees, of the angle $$x$$ ? ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%2011.47.32%20AM_20230426094821410690.png) ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%2011.47.40%20AM_20230426094834113714.png)

Answer ![](http://admin.getprephub.com/media/editor/Screenshot%202023-04-26%20at%2011.47.59%20AM_20230426094909182972.png) $$m \angle A=180^{\circ}-57^{\circ}-42^{\circ}=81^{\circ}$$ The transformations rotation and reflection will make triangle 1 and Triangle 2 congruent. Therefore, $$x=81^{\circ}$$

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A series of translations, rotations and reflections is applied to Triangle 1 to create Triangle 2 , as shown.

What is the measure, in degrees, of the angle $x$ ?

$81^{\circ}$

$91^{\circ}$

$120^{\circ}$

$57^{\circ}$

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