Examine $ΔABC$ and $ΔDEF$ at right.

1. Complete a flowchart to justify the relationship between the two triangles. Assume the triangles at right are not drawn to scale.

   Hint (a):

   Use the Triangle Angle Sum Theorem to find the unknown angle in each triangle.
   This will help you determine the relationship between the two triangles.

2. Determine ${DF}$.

   Hint (b):

   The corresponding sides of similar triangles will all have equal ratios to one another.