To find the corresponding angles of the dilated triangle, we can use the AA (Angle-Angle) criterion, which states that if two triangles have two angles that are equal, then the triangles are similar.
In this case, the triangle with angles 34 degrees and 80 degrees will have its angles corresponding to the dilated triangle. Since dilation does not change angle measures, the angles of the dilated triangle will remain the same as the original triangle.
Thus, the corresponding angles of the dilated triangle will also be 34 degrees and 80 degrees.
The correct answer is: 34 degrees and 80 degrees.