Given that the triangle FGH is the Image of the triangle ABC after a translation of 5 units up to the right and 8 units down, you know that the corresponding angles are matched up and they are in the same spot. This means that:
Since in Translation the angles do not change and the angles:
• A and F are corresponding angles, they have the same measure, and angles A and H are different.
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• Angles C and H are corresponding angles. Therefore, they are congruent. Then, angles C and G are different.
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• Angles B and G are corresponding angles and they have the same measure. Therefore, B and F are different.
Hence, the answer is: