Answer:
[tex]m\angle A'=63^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
A translation is a rigid transformation that not produces change in the size or in the shape of a figure
so
The pre-image of the figure is congruent with the image after a translation
Remember that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
so
[tex]m\angle A=m\angle A'[/tex]
[tex]m\angle B=m\angle B'[/tex]
[tex]m\angle C=m\angle C'[/tex]
and
[tex]AB=A'B'[/tex]
[tex]BC=B'C'[/tex]
[tex]AC=A'C'[/tex]
therefore
if [tex]m\angle A=63^o[/tex]
then
[tex]m\angle A'=63^o[/tex]
