Using the AA (Angle-Angle) criterion for similarity, we know that dilating a triangle does not change its angle measures. Therefore, the angles of the dilated triangle will be the same as those of the original triangle.
The original triangle has angles measuring 34 degrees and 80 degrees. The third angle can be determined by using the fact that the sum of the angles in a triangle is 180 degrees:
\[ \text{Third Angle} = 180^\circ - 34^\circ - 80^\circ = 66^\circ \]
The angles of the dilated triangle will also be 34 degrees, 80 degrees, and 66 degrees.
Thus, the corresponding angles of the dilated triangle are:
• 34 degrees and 80 degrees
So the answer is: 34 degrees and 80 degrees.