The question contains conflicting statements about the lengths of sides in similar triangles. Despite this, the angle measure m∠EDF is 53° because corresponding angles in similar triangles are equal.
The provided information appears to be part of an explanation about triangles in geometry and their properties such as similarity and congruency, but it does not directly relate to the student's question about similar triangles ΔABC and ΔDEF. To answer the student's question, we must apply the concept of similar triangles, which means they have the same shape but not necessarily the same size, and corresponding angles are equal.
Since ΔABC and ΔDEF are similar:
- DE is proportional to EF. However, the information given is conflicting since it states DE is 5 units but asks to find DE if EF is 3 units. This seems to be an error. Based on the second part of the question, if ΔABC and ΔDEF are similar, m∠ABC is 53°, then m∠EDF must also be 53° because corresponding angles in similar triangles are equal.
In conclusion, there seems to be a mistake in the question as it provides contradictory statements about the lengths of DE and EF. Nonetheless, the measurement of m∠EDF is 53°, matching m∠ABC.