Using the property of dilation, the angles of a triangle remain the same after being dilated. Therefore, the angles in the dilated triangle will correspond to the angles in the original triangle.
The original triangle has angles measuring 34 degrees and 80 degrees. The remaining angle can be calculated as:
\(180 - (34 + 80) = 66\) degrees.
Thus, the corresponding angles of the dilated triangle will also be 34 degrees, 80 degrees, and 66 degrees.
The correct response from the options given is:
34 degrees and 80 degrees.