We have been given that triangle def is a dilation of triangle abc with scale factor 2. In triangle abc the largest angle measures 82 degree and we are asked to find largest angle measure of triangle def.
Since we know that dilation stretches or shrinks the original figure. Dilation does not change or affect angle measure.
Upon dilating our triangle abc by a scale factor of 2 sides of triangle will increase but angles will remain same.
Therefore, largest angle measure of triangle def will be 82 degrees as well.