When a triangle is dilated, the angles of the triangle do not change. Dilation affects the size of the triangle but does not alter the measures of its angles.
Since the original triangle has angle measures of 34 degrees and 80 degrees, the other angle can be calculated as follows:
- The sum of the angles in a triangle is always 180 degrees.
- The third angle = 180 degrees - (34 degrees + 80 degrees) = 180 degrees - 114 degrees = 66 degrees.
Thus, the angles in the original triangle are 34 degrees, 80 degrees, and 66 degrees.
The corresponding angles in the dilated triangle will remain the same:
- 34 degrees
- 80 degrees
- 66 degrees
Therefore, the answer is 34 degrees and 80 degrees (with the third angle being 66 degrees). Among the provided options, the closest response would be 34 degrees and 80 degrees.