CPM Homework Help : INT2 Problem 4-65

Lizzie notices that two angles in $ΔDEF$ , shown at right, have the same measure.

Triangle D, E, F, with angle, D, labeled 54 degrees, and angle, F, labeled 54 degrees.

Based on this information, what statement can you make about the relationship between $\overline{ED}$ and $\overline{EF}$ ?
Hint (a):
What's true about sides opposite equal angles in a triangle?
Determine the length of $\overline{DF}$ if $DE=9$ mm.
Hint (b):
Divide $ΔDEF$ into two congruent right triangles.
More Help (b):
Use trigonometry to determine $DF$ .