The angles in a triangle remain unchanged through dilation. When a triangle is dilated, its size changes, but the angles remain the same. Therefore, the two corresponding angles of the dilated triangle will be the same as the angles in the original triangle.
Given the original triangle has angle measures of 34 degrees and 80 degrees, the corresponding angles of the dilated triangle will also be 34 degrees and 80 degrees.
So the correct response is:
34 degrees and 80 degrees.