If you used the rule (3x + 1, 3y – 4) to transform Mug into a new figure:

How would the angles of the new figure compare to Mug’s angles?

it's just a dilation (x and y both the same factor) and shift, so angles will not change

To determine how the angles of the new figure compare to Mug's angles after applying the transformation rule (3x + 1, 3y - 4), we need to understand the properties of the transformation and how it affects angles.

The given transformation rule (3x + 1, 3y - 4) represents a translation. A translation moves each point of an object a constant distance in a given direction. In this case, the x-coordinate is shifted by 1 unit to the right (3x + 1), and the y-coordinate is shifted by 4 units downward (3y - 4).

When applying a translation to an object, the shape and size of the object remain unchanged. Only the position of the object is affected. Therefore, the angles in the new figure will be congruent (meaning they have the same measure) to the corresponding angles in the original Mug figure.

In conclusion, applying the given transformation rule does not alter the measures of Mug's angles. The angles in the new figure will be the same as the angles in Mug.